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The first 3 powers of 2 with all but last digit odd is 2^4 = 16, 2^5 = 32 and 2^9 = 512. The next such power of 2 of form 2^n should have n of at least 6 digits. The only powers of 2 with all digits distinct are 2^0 = 1 to 2^15 = 32768, 2^20 = 1048576 and 2^29 = 536870912.