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856432825336 = 231141537016389
BaseRepresentation
bin11000111011001110101…
…11111101001111111000
310000212121021110022000201
430131213113331033320
5103012433300402321
61453234555411544
7115606126621414
oct14354727751770
93025537408021
10856432825336
11300236003720
12119b95753bb4
13629b867a70a
142d647171d44
15174277b9291
hexc7675fd3f8

856432825336 has 128 divisors (see below), whose sum is σ = 1831274827200. Its totient is φ = 372037120000.

The previous prime is 856432825327. The next prime is 856432825343. The reversal of 856432825336 is 633528234658.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134044830 + ... + 134051218.

Almost surely, 2856432825336 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 856432825336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915637413600).

856432825336 is an abundant number, since it is smaller than the sum of its proper divisors (974842001864).

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

856432825336 is a wasteful number, since it uses less digits than its factorization.

856432825336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7197 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 55.

The spelling of 856432825336 in words is "eight hundred fifty-six billion, four hundred thirty-two million, eight hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 41 44 53 82 88 106 164 212 328 424 451 583 701 902 1166 1402 1804 2173 2332 2804 3608 4346 4664 5608 6389 7711 8692 12778 15422 17384 23903 25556 28741 30844 37153 47806 51112 57482 61688 70279 74306 95612 114964 140558 148612 191224 229928 261949 281116 297224 316151 338617 408683 523898 562232 632302 677234 817366 1047796 1264604 1354468 1523273 1634732 2095592 2529208 2708936 2881439 3046546 3269464 3724787 4478689 5762878 6093092 7449574 8957378 11525756 12186184 13883297 14899148 16756003 17914756 23051512 27766594 29798296 33512006 35829512 49265579 55533188 67024012 98531158 111066376 134048024 152716267 183626249 197062316 237370517 305432534 367252498 394124632 474741034 610865068 734504996 949482068 1221730136 1469009992 1898964136 2019888739 2611075687 4039777478 5222151374 8079554956 9732191197 10444302748 16159109912 19464382394 20888605496 38928764788 77857529576 107054103167 214108206334 428216412668 856432825336