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631620026136 = 2332112479151357
BaseRepresentation
bin10010011000011110111…
…11001011111100011000
32020101022200111210221100
421030033133023330120
540322024211314021
61202055013111400
763430063432101
oct11141737137430
92211280453840
10631620026136
11223961047200
12a24b4328560
134773b84a648
14227db9173a8
151166acee626
hex930f7cbf18

631620026136 has 144 divisors (see below), whose sum is σ = 1884225470400. Its totient is φ = 190999163520.

The previous prime is 631620026041. The next prime is 631620026189.

631620026136 is a `hidden beast` number, since 6 + 3 + 1 + 620 + 0 + 26 + 1 + 3 + 6 = 666.

631620026136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 631620026136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4097370 + ... + 4248726.

It is an arithmetic number, because the mean of its divisors is an integer number (13084899100).

Almost surely, 2631620026136 is an apocalyptic number.

631620026136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631620026136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942112735200).

631620026136 is an abundant number, since it is smaller than the sum of its proper divisors (1252605444264).

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

631620026136 is a wasteful number, since it uses less digits than its factorization.

631620026136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151870 (or 151852 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 631620026136 in words is "six hundred thirty-one billion, six hundred twenty million, twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 479 484 726 792 958 968 1089 1437 1452 1916 2178 2874 2904 3832 4311 4356 5269 5748 8622 8712 10538 11496 15807 17244 21076 31614 34488 42152 47421 57959 63228 94842 115918 126456 151357 173877 189684 231836 302714 347754 379368 454071 463672 521631 605428 695508 908142 1043262 1210856 1362213 1391016 1664927 1816284 2086524 2724426 3329854 3632568 4173048 4994781 5448852 6659708 9989562 10897704 13319416 14984343 18314197 19979124 29968686 36628394 39958248 54942591 59937372 72500003 73256788 109885182 119874744 145000006 146513576 164827773 217500009 219770364 290000012 329655546 435000018 439540728 580000024 652500027 659311092 797500033 870000036 1305000054 1318622184 1595000066 1740000072 2392500099 2610000108 3190000132 4785000198 5220000216 6380000264 7177500297 8772500363 9570000396 14355000594 17545000726 19140000792 26317501089 28710001188 35090001452 52635002178 57420002376 70180002904 78952503267 105270004356 157905006534 210540008712 315810013068 631620026136