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14814507264 = 28322386501
BaseRepresentation
bin11011100110000001…
…10111000100000000
31102020110002221111020
431303000313010000
5220320003213024
610450010145440
71033055143164
oct156300670400
942213087436
1014814507264
116312448637
122a55422280
1315212a103b
14a0773aca4
155ba8c3979
hex373037100

14814507264 has 72 divisors (see below), whose sum is σ = 39605459712. Its totient is φ = 4915968000.

The previous prime is 14814507221. The next prime is 14814507287. The reversal of 14814507264 is 46270541841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128014 + ... + 214514.

Almost surely, 214814507264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14814507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802729856).

14814507264 is an abundant number, since it is smaller than the sum of its proper divisors (24790952448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14814507264 is an equidigital number, since it uses as much as digits as its factorization.

14814507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86743 (or 86729 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 14814507264 in words is "fourteen billion, eight hundred fourteen million, five hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 669 768 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 86501 171264 173002 259503 346004 519006 692008 1038012 1384016 2076024 2768032 4152048 5536064 8304096 11072128 16608192 19289723 22144256 33216384 38579446 57869169 66432768 77158892 115738338 154317784 231476676 308635568 462953352 617271136 925906704 1234542272 1851813408 2469084544 3703626816 4938169088 7407253632 14814507264