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56001626325 = 3252312416317
BaseRepresentation
bin110100001001111101…
…010000000011010101
312100112211221101012100
4310021331100003111
51404142404020300
641420553112313
74021525653411
oct641175200325
9170484841170
1056001626325
1121828504807
12aa2a9b8699
135386287ac8
1429d3843d41
1516cb6ee700
hexd09f500d5

56001626325 has 108 divisors (see below), whose sum is σ = 106189898724. Its totient is φ = 28194624000.

The previous prime is 56001626297. The next prime is 56001626341. The reversal of 56001626325 is 52362610065.

It is a happy number.

56001626325 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 1 + 626 + 3 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8683630596 + 47317995729 = 93186^2 + 217527^2 .

It is not a de Polignac number, because 56001626325 - 214 = 56001609941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56001626325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8862067 + ... + 8868383.

It is an arithmetic number, because the mean of its divisors is an integer number (983239803).

Almost surely, 256001626325 is an apocalyptic number.

It is an amenable number.

56001626325 is a deficient number, since it is larger than the sum of its proper divisors (50188272399).

56001626325 is a wasteful number, since it uses less digits than its factorization.

56001626325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56001626325 in words is "fifty-six billion, one million, six hundred twenty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 41 45 75 93 123 155 205 225 279 369 465 615 775 961 1025 1271 1395 1845 2325 2883 3075 3813 4805 6317 6355 6975 8649 9225 11439 14415 18951 19065 24025 31585 31775 39401 43245 56853 57195 72075 94755 95325 118203 157925 195827 197005 216225 258997 284265 285975 354609 473775 587481 591015 776991 979135 985025 1294985 1421325 1762443 1773045 2330973 2937405 2955075 3884955 4895675 6070637 6474925 8028907 8812215 8865225 11654865 14687025 18211911 19424775 24086721 30353185 40144535 44061075 54635733 58274325 72260163 91059555 120433605 151765925 200722675 248896117 273178665 361300815 455297775 602168025 746688351 1244480585 1365893325 1806504075 2240065053 3733441755 6222402925 11200325265 18667208775 56001626325