Hi Mary,

One such number is 2¹². It's divisors are

1,2,2²,2³,2⁴,2⁵,2⁶,2⁷,2⁸,2⁹,2¹⁰,2¹¹,2¹²,

i.e.

1,2,4,8,16,32,64,128,256,512,1024,2048,4096.

6¹² doesn't work. 1,6,6²,...,6¹² are divisors of 6¹² but so is 3.

Is 2 special or would some other number raised to the 12 power work? What numbers raised to the 12 will work?

Penny

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