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57956540688 = 2434359124567
BaseRepresentation
bin110101111110011110…
…101010000100010000
312112121002110022120000
4311332132222010100
51422143333300223
642342545450000
74121134316244
oct657636520420
9175532408500
1057956540688
1122640a57912
12b295640900
1356082a7877
142b3b324424
151793158543
hexd7e7aa110

57956540688 has 100 divisors (see below), whose sum is σ = 168211644480. Its totient is φ = 19264879296.

The previous prime is 57956540669. The next prime is 57956540717. The reversal of 57956540688 is 88604565975.

57956540688 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 6 + 540 + 6 + 88 = 666.

57956540688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 402981 + ... + 527547.

Almost surely, 257956540688 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 57956540688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84105822240).

57956540688 is an abundant number, since it is smaller than the sum of its proper divisors (110255103792).

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

57956540688 is a wasteful number, since it uses less digits than its factorization.

57956540688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124946 (or 124931 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 57956540688 in words is "fifty-seven billion, nine hundred fifty-six million, five hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 359 432 648 718 1077 1296 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 29079 38772 51696 58158 77544 116316 124567 155088 232632 249134 373701 465264 498268 747402 996536 1121103 1494804 1993072 2242206 2989608 3363309 4484412 5979216 6726618 8968824 10089927 13453236 17937648 20179854 26906472 40359708 44719553 53812944 80719416 89439106 134158659 161438832 178878212 268317318 357756424 402475977 536634636 715512848 804951954 1073269272 1207427931 1609903908 2146538544 2414855862 3219807816 3622283793 4829711724 6439615632 7244567586 9659423448 14489135172 19318846896 28978270344 57956540688