A183062 Numbers with 59 divisors.

288230376151711744, 4710128697246244834921603689, 34694469519536141888238489627838134765625, 10367793076318844190248738727596255138212949486449

Offset: 1

Author

Omar E. Pol, Jul 31 2011

Keywords

• nonn
• easy

Comments

Also, 58th powers of primes.

The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

Links

• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533.

Programs

PARI

a(n)=prime(n)^58 \\ Charles R Greathouse IV, Jul 31 2011

Formula

a(n) = A000040(n)^(59-1) = A000040(n)^58.

A000005(a(n)) = 59.