A183062 Numbers with 59 divisors.

288230376151711744, 4710128697246244834921603689, 34694469519536141888238489627838134765625, 10367793076318844190248738727596255138212949486449

Offset

1,1

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

Table of n, a(n) for n=1..4.

OEIS Wiki, Index entries for number of divisors

Formula

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

A000005(a(n)) = 59.

Prog

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

Crossrefs

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

Sequence in context: A363980 A230668 A228455 * A239923 A104838 A376261

Adjacent sequences: A183059 A183060 A183061 * A183063 A183064 A183065

Keyword

nonn,easy

Author

Omar E. Pol, Jul 31 2011

Status

approved