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56257913544 = 23371734756767
BaseRepresentation
bin110100011001001110…
…111010001011001000
312101012201012010011120
4310121032322023020
51410204011213134
641502230155240
74031060242440
oct643116721310
9171181163146
1056257913544
112194a142128
12aaa07b2b20
1353c73bc151
142a198b9120
1516e3e76649
hexd193ba2c8

56257913544 has 128 divisors (see below), whose sum is σ = 170685480960. Its totient is φ = 15084315648.

The previous prime is 56257913531. The next prime is 56257913557. The reversal of 56257913544 is 44531975265.

It is an interprime number because it is at equal distance from previous prime (56257913531) and next prime (56257913557).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962649 + ... + 1019415.

It is an arithmetic number, because the mean of its divisors is an integer number (1333480320).

Almost surely, 256257913544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56257913544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85342740480).

56257913544 is an abundant number, since it is smaller than the sum of its proper divisors (114427567416).

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

56257913544 is a wasteful number, since it uses less digits than its factorization.

56257913544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57147 (or 57143 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The spelling of 56257913544 in words is "fifty-six billion, two hundred fifty-seven million, nine hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 347 357 408 476 694 714 952 1041 1388 1428 2082 2429 2776 2856 4164 4858 5899 7287 8328 9716 11798 14574 17697 19432 23596 29148 35394 41293 47192 56767 58296 70788 82586 113534 123879 141576 165172 170301 227068 247758 330344 340602 397369 454136 495516 681204 794738 965039 991032 1192107 1362408 1589476 1930078 2384214 2895117 3178952 3860156 4768428 5790234 6755273 7720312 9536856 11580468 13510546 19698149 20265819 23160936 27021092 39396298 40531638 54042184 59094447 78792596 81063276 118188894 137887043 157585192 162126552 236377788 275774086 334868533 413661129 472755576 551548172 669737066 827322258 1004605599 1103096344 1339474132 1654644516 2009211198 2344079731 2678948264 3309289032 4018422396 4688159462 7032239193 8036844792 9376318924 14064478386 18752637848 28128956772 56257913544