1 2 4 8 16 32 64 128 256 512 1024 2048 4096.
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It is 212 = 4096, whose factors are 2n where n = 0, 1, 2, ... , 12.
Prime numbers to the 12th power, like 4096, have 13 factors.
The answer is 4096. 2^12. 1,2,4,8,16,32,64,128,256,512,1024,2048,4096. 1,2,3,4,5-,6--,7--,8---,9----,10-,11---,12----,13.
4096 is the smallest one. Since the number of factors depends on the exponents of the prime factors, plus one, multiplied together, the set of numbers that meets the requirements are of the form: p12, where p is a prime number.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384 and 32768.