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56599981632 = 263382939511
BaseRepresentation
bin110100101101100111…
…110010111001000000
312102002112211222101000
4310231213302321000
51411404043403012
642000210012000
74042412622465
oct645547627100
9172075758330
1056599981632
1122005239a27
12ab77277000
135450228bbc
142a4d0bd66c
151713ee4ddc
hexd2d9f2e40

56599981632 has 112 divisors (see below), whose sum is σ = 166598396800. Its totient is φ = 18843425280.

The previous prime is 56599981589. The next prime is 56599981639. The reversal of 56599981632 is 23618999565.

56599981632 is a `hidden beast` number, since 5 + 6 + 599 + 9 + 8 + 1 + 6 + 32 = 666.

56599981632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56599981632.

It is not an unprimeable number, because it can be changed into a prime (56599981639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412757 + ... + 1452267.

Almost surely, 256599981632 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 56599981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83299198400).

56599981632 is an abundant number, since it is smaller than the sum of its proper divisors (109998415168).

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

56599981632 is a wasteful number, since it uses less digits than its factorization.

56599981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40361 (or 40345 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 56599981632 in words is "fifty-six billion, five hundred ninety-nine million, nine hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 829 864 1658 1728 2487 3316 4974 6632 7461 9948 13264 14922 19896 22383 26528 29844 39511 39792 44766 53056 59688 79022 79584 89532 118533 119376 158044 159168 179064 237066 238752 316088 355599 358128 474132 477504 632176 711198 716256 948264 1066797 1264352 1422396 1432512 1896528 2133594 2528704 2844792 3793056 4267188 5689584 7586112 8534376 11379168 17068752 22758336 32754619 34137504 65509238 68275008 98263857 131018476 196527714 262036952 294791571 393055428 524073904 589583142 786110856 884374713 1048147808 1179166284 1572221712 1768749426 2096295616 2358332568 3144443424 3537498852 4716665136 6288886848 7074997704 9433330272 14149995408 18866660544 28299990816 56599981632