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264440312502656 = 2731509130929713
BaseRepresentation
bin111100001000000111001110…
…111001000001100110000000
31021200022020200001100222000112
4330020013032321001212000
5234130042230000041111
62334230111423010452
7106462116314062553
oct7410071671014600
91250266601328015
10264440312502656
1177293563510314
12257aa379739a28
13b4727cacb11a4
144942d9d73669a
152088a7565ae8b
hexf081cee41980

264440312502656 has 64 divisors (see below), whose sum is σ = 544877097782400. Its totient is φ = 127703603896320.

The previous prime is 264440312502557. The next prime is 264440312502697. The reversal of 264440312502656 is 656205213044462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63445145 + ... + 67484568.

It is an arithmetic number, because the mean of its divisors is an integer number (8513704652850).

Almost surely, 2264440312502656 is an apocalyptic number.

It is an amenable number.

264440312502656 is an abundant number, since it is smaller than the sum of its proper divisors (280436785279744).

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

264440312502656 is a wasteful number, since it uses less digits than its factorization.

264440312502656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130930267 (or 130930255 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 264440312502656 in words is "two hundred sixty-four trillion, four hundred forty billion, three hundred twelve million, five hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 509 992 1018 1984 2036 3968 4072 8144 15779 16288 31558 32576 63116 65152 126232 252464 504928 1009856 2019712 130929713 261859426 523718852 1047437704 2094875408 4058821103 4189750816 8117642206 8379501632 16235284412 16759003264 32470568824 64941137648 66643223917 129882275296 133286447834 259764550592 266572895668 519529101184 533145791336 1066291582672 2065939941427 2132583165344 4131879882854 4265166330688 8263759765708 8530332661376 16527519531416 33055039062832 66110078125664 132220156251328 264440312502656