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56955686164 = 22135361333713
BaseRepresentation
bin110101000010110100…
…101100110100010100
312110000100011122020221
4311002310230310110
51413121123424124
642055354004124
74054262226106
oct650264546424
9173010148227
1056955686164
1122178000013
12b056416644
1354a8b2b760
142a84433576
151735358ce4
hexd42d2cd14

56955686164 has 48 divisors (see below), whose sum is σ = 109546495632. Its totient is φ = 25748416512.

The previous prime is 56955686159. The next prime is 56955686197. The reversal of 56955686164 is 46168655965.

It can be written as a sum of positive squares in 8 ways, for example, as 20744640900 + 36211045264 = 144030^2 + 190292^2 .

It is a super-2 number, since 2×569556861642 (a number of 22 digits) contains 22 as substring.

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, 1672572 + ... + 1706284.

It is an arithmetic number, because the mean of its divisors is an integer number (2282218659).

Almost surely, 256955686164 is an apocalyptic number.

It is an amenable number.

56955686164 is a deficient number, since it is larger than the sum of its proper divisors (52590809468).

56955686164 is a wasteful number, since it uses less digits than its factorization.

56955686164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34396 (or 34394 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 61.

The spelling of 56955686164 in words is "fifty-six billion, nine hundred fifty-five million, six hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 53 106 212 613 689 1226 1378 2452 2756 7969 15938 31876 32489 33713 64978 67426 129956 134852 422357 438269 844714 876538 1689428 1753076 1786789 3573578 7147156 20666069 23228257 41332138 46456514 82664276 92913028 268658897 537317794 1074635588 1095301657 2190603314 4381206628 14238921541 28477843082 56955686164