A natural number `n`

is called a superperfect number if the sum of the divisors of the sum of its divisors is twice as large as `n`

itself.

The first known superperfect numbers are

2,

4,

16,

64,

4096,

65536,

262144,

1073741824,

1152921504606846976

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A natural number `n`

is called a superperfect number if the sum of the divisors of the sum of its divisors is twice as large as `n`

itself.

The first known superperfect numbers are

2,

4,

16,

64,

4096,

65536,

262144,

1073741824,

1152921504606846976