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56683991056 = 24721127732
BaseRepresentation
bin110100110010101000…
…010001000000010000
312102022101221002122011
4310302220101000100
51412042100203211
642012410352304
74044452655100
oct646250210020
9172271832564
1056683991056
11220486a9500
12ab9b42b694
135464761214
142a5a30b200
15171b58b921
hexd32a11010

56683991056 has 135 divisors (see below), whose sum is σ = 140607786333. Its totient is φ = 22056101760.

The previous prime is 56683991051. The next prime is 56683991087. The reversal of 56683991056 is 65019938665.

The square root of 56683991056 is 238084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3607203600 + 53076787456 = 60060^2 + 230384^2 .

It is not an unprimeable number, because it can be changed into a prime (56683991051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73329486 + ... + 73330258.

Almost surely, 256683991056 is an apocalyptic number.

56683991056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

56683991056 is the 238084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56683991056

56683991056 is an abundant number, since it is smaller than the sum of its proper divisors (83923795277).

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

56683991056 is an equidigital number, since it uses as much as digits as its factorization.

56683991056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 58.

The spelling of 56683991056 in words is "fifty-six billion, six hundred eighty-three million, nine hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 773 784 847 968 1078 1232 1546 1694 1936 2156 3092 3388 4312 5411 5929 6184 6776 8503 8624 10822 11858 12368 13552 17006 21644 23716 34012 37877 43288 47432 59521 68024 75754 86576 93533 94864 119042 136048 151508 187066 238084 303016 374132 416647 476168 597529 606032 654731 748264 833294 952336 1195058 1309462 1496528 1666588 2390116 2618924 3333176 4182703 4583117 4780232 5237848 6572819 6666352 8365406 9166234 9560464 10475696 13145638 16730812 18332468 26291276 29278921 33461624 36664936 46009733 52582552 58557842 66923248 72301009 73329872 92019466 105165104 117115684 144602018 184038932 234231368 289204036 322068131 368077864 468462736 506107063 578408072 644136262 736155728 1012214126 1156816144 1288272524 2024428252 2576545048 3542749441 4048856504 5153090096 7085498882 8097713008 14170997764 28341995528 56683991056