Search a number
-
+
56056056672 = 2537117583341
BaseRepresentation
bin110100001101001100…
…111000101101100000
312100200122100201121010
4310031030320231200
51404300322303142
641430215500520
74023056422440
oct641514705540
9170618321533
1056056056672
1121856201070
12aa45087740
135394634905
1429dab72120
1516d13a1e9c
hexd0d338b60

56056056672 has 96 divisors (see below), whose sum is σ = 183456209664. Its totient is φ = 14560012800.

The previous prime is 56056056631. The next prime is 56056056697. The reversal of 56056056672 is 27665065065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×560560566723 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784279 + ... + 3799062.

It is an arithmetic number, because the mean of its divisors is an integer number (1911002184).

Almost surely, 256056056672 is an apocalyptic number.

It is an amenable number.

56056056672 is an abundant number, since it is smaller than the sum of its proper divisors (127400152992).

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

56056056672 is a wasteful number, since it uses less digits than its factorization.

56056056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583372 (or 7583364 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 56056056672 in words is "fifty-six billion, fifty-six million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 7583341 15166682 22750023 30333364 45500046 53083387 60666728 83416751 91000092 106166774 121333456 159250161 166833502 182000184 212333548 242666912 250250253 318500322 333667004 364000368 424667096 500500506 583917257 637000644 667334008 728000736 849334192 1001001012 1167834514 1274001288 1334668016 1698668384 1751751771 2002002024 2335669028 2548002576 2669336032 3503503542 4004004048 4671338056 5096005152 7007007084 8008008096 9342676112 14014014168 18685352224 28028028336 56056056672