A139572 Numbers with 37 divisors.

68719476736, 150094635296999121, 14551915228366851806640625, 2651730845859653471779023381601, 30912680532870672635673352936887453361, 12646218552730347184269489080961456410641

Offset: 1

Author

Omar E. Pol, May 07 2008

Keywords

• nonn
• easy

Comments

36th 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

• T. D. Noe, Table of n, a(n) for n = 1..1000
• OEIS Wiki, Index entries for number of divisors

Crossrefs

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

Programs

Maple

A139572 := proc(n) ithprime(n)^36 ; end proc: seq(A139572(n),n=1..10) ; # R. J. Mathar, Feb 05 2010

Mathematica

Prime[Range[10]]^36 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PARI

a(n)=prime(n)^36 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n) = A000040(n)^(37-1) = A000040(n)^36.

Extensions

More terms from R. J. Mathar, Feb 05 2010