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56852682624 = 273331530659
BaseRepresentation
bin110100111100101011…
…110001011110000000
312102202011100111222000
4310330223301132000
51412413241320444
642041234144000
74051601554203
oct647453613600
9172664314860
1056852682624
1122124947a21
12b027a22000
1354906a5b0a
142a7489d93a
15172b2ae469
hexd3caf1780

56852682624 has 128 divisors (see below), whose sum is σ = 173207424000. Its totient is φ = 18339540480.

The previous prime is 56852682613. The next prime is 56852682629. The reversal of 56852682624 is 42628625865.

56852682624 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 2 + 6 + 8 + 2 + 624 = 666.

56852682624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56852682629) 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, 158194 + ... + 372465.

It is an arithmetic number, because the mean of its divisors is an integer number (1353183000).

Almost surely, 256852682624 is an apocalyptic number.

56852682624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56852682624 is an abundant number, since it is smaller than the sum of its proper divisors (116354741376).

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

56852682624 is a wasteful number, since it uses less digits than its factorization.

56852682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530713 (or 530695 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 56852682624 in words is "fifty-six billion, eight hundred fifty-two million, six hundred eighty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 530659 1061318 1591977 2122636 3183954 4245272 4775931 6367908 8490544 9551862 12735816 14327793 16450429 16981088 19103724 25471632 28655586 32900858 33962176 38207448 49351287 50943264 57311172 65801716 67924352 76414896 98702574 101886528 114622344 131603432 148053861 152829792 197405148 203773056 229244688 263206864 296107722 305659584 394810296 444161583 458489376 526413728 592215444 611319168 789620592 888323166 916978752 1052827456 1184430888 1579241184 1776646332 1833957504 2105654912 2368861776 3158482368 3553292664 4737723552 6316964736 7106585328 9475447104 14213170656 18950894208 28426341312 56852682624