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The default buffer size of a Unix pipeline is 64KiB (65536 bytes). 65536 is the maximum number of spreadsheet rows supported by Excel 97, Excel 2000, Excel 2002 and Excel 2003. Text files that are larger than 65536 rows cannot be imported to these versions of Excel. [5] (Excel 2007, 2010 and 2013 support 1,048,576 rows (2 20)).
The Microsoft xls file format which is the default file format used in versions prior to 2007 had a capacity limit of 65,536 rows by 256 columns (2 16 and 2 8 respectively). [71] This presents a problem for people using larger datasets, and can result in data loss.
Microsoft Excel has the basic features of all spreadsheets, [7] using a grid of cells arranged in numbered rows and letter-named columns to organize data manipulations like arithmetic operations. It has a battery of supplied functions to answer statistical, engineering, and financial needs.
The limit on partition size was dictated by the 8-bit signed count of sectors per cluster, which originally had a maximum power-of-two value of 64. With the standard hard disk sector size of 512 bytes, this gives a maximum of 32 KB cluster size, thereby fixing the "definitive" limit for the FAT16 partition size at 2 GB for sector size 512.
Excel's storage of numbers in binary format also affects its accuracy. [3] To illustrate, the lower figure tabulates the simple addition 1 + x − 1 for several values of x. All the values of x begin at the 15 th decimal, so Excel must take them into account. Before calculating the sum 1 + x, Excel first approximates x as a binary number
Such address translations are carried out by the segmentation unit of the CPU. The last segment, FFFFh (65535), begins at linear address FFFF0h (1048560), 16 bytes before the end of the 20 bit address space, and thus, can access, with an offset of up to 65,536 bytes, up to 65,520 (65536−16) bytes past the end of the 20 bit 8088 address space.
where σ is the sum-of-divisors function. Superperfect numbers are not a generalization of perfect numbers but have a common generalization. The term was coined by D. Suryanarayana (1969). [1] The first few superperfect numbers are : 2, 4, 16, 64, 4096, 65536, 262144, 1073741824, ... (sequence A019279 in the OEIS).
65535 is the sum of 2 0 through 2 15 (2 0 + 2 1 + 2 2 + ... + 2 15) and is therefore a repdigit in base 2 (1111111111111111), in base 4 (33333333), and in base 16 (FFFF).. It is the ninth number whose Euler totient has an aliquot sum that is : (()) =, [2] and the twenty-eighth perfect totient number equal to the sum of its iterated totients.