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57375112564 = 22711218019403
BaseRepresentation
bin110101011011110100…
…101011110101110100
312111002120101201010001
4311123310223311310
51420001012100224
642205135441044
74100544260440
oct653364536564
9174076351101
1057375112564
1122372834300
12b152986184
1355449b2363
142ac4013820
15175c0a8544
hexd5bd2bd74

57375112564 has 72 divisors (see below), whose sum is σ = 126213867584. Its totient is φ = 22339152000.

The previous prime is 57375112559. The next prime is 57375112601. The reversal of 57375112564 is 46521157375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6097087 + ... + 6106489.

Almost surely, 257375112564 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 57375112564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63106933792).

57375112564 is an abundant number, since it is smaller than the sum of its proper divisors (68838755020).

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

57375112564 is a wasteful number, since it uses less digits than its factorization.

57375112564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237 (or 11224 counting only the distinct ones).

The product of its digits is 882000, while the sum is 46.

The spelling of 57375112564 in words is "fifty-seven billion, three hundred seventy-five million, one hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 1801 3388 3602 7204 9403 12607 18806 19811 25214 37612 39622 50428 65821 79244 103433 131642 138677 206866 217921 263284 277354 413732 435842 554708 724031 871684 1137763 1448062 1525447 2275526 2896124 3050894 4551052 6101788 7964341 15928682 16934803 31857364 33869606 67739212 118543621 186282833 237087242 372565666 474174484 745131332 1303979831 2049111163 2607959662 4098222326 5215919324 8196444652 14343778141 28687556282 57375112564