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2656064638152 = 2333231163459703
BaseRepresentation
bin100110101001101001110…
…010100000110011001000
3100101220202201012121122000
4212221221302200303020
5322004110021410102
65352102415031000
7362615520626442
oct46515162406310
910356681177560
102656064638152
11934481276882
1236a91a80b460
1316360953c483
14927a8a9b492
1549154d4501c
hex26a69ca0cc8

2656064638152 has 128 divisors (see below), whose sum is σ = 7705374566400. Its totient is φ = 846131178816.

The previous prime is 2656064638127. The next prime is 2656064638153. The reversal of 2656064638152 is 2518364606562.

2656064638152 is a `hidden beast` number, since 2 + 6 + 56 + 0 + 6 + 463 + 81 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2656064638153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5547933 + ... + 6007635.

It is an arithmetic number, because the mean of its divisors is an integer number (60198238800).

Almost surely, 22656064638152 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 2656064638152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852687283200).

2656064638152 is an abundant number, since it is smaller than the sum of its proper divisors (5049309928248).

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

2656064638152 is a wasteful number, since it uses less digits than its factorization.

2656064638152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460904 (or 460894 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2656064638152 in words is "two trillion, six hundred fifty-six billion, sixty-four million, six hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1163 1242 1656 2326 2484 3489 4652 4968 6978 9304 10467 13956 20934 26749 27912 31401 41868 53498 62802 80247 83736 106996 125604 160494 213992 240741 251208 320988 459703 481482 641976 722223 919406 962964 1379109 1444446 1838812 1925928 2758218 2888892 3677624 4137327 5516436 5777784 8274654 10573169 11032872 12411981 16549308 21146338 24823962 31719507 33098616 42292676 49647924 63439014 84585352 95158521 99295848 126878028 190317042 253756056 285475563 380634084 534634589 570951126 761268168 1069269178 1141902252 1603903767 2138538356 2283804504 3207807534 4277076712 4811711301 6415615068 9623422602 12296595547 12831230136 14435133903 19246845204 24593191094 28870267806 36889786641 38493690408 49186382188 57740535612 73779573282 98372764376 110669359923 115481071224 147559146564 221338719846 295118293128 332008079769 442677439692 664016159538 885354879384 1328032319076 2656064638152