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57378577088 = 2671072295227
BaseRepresentation
bin110101011100000001…
…111001101011000000
312111002210220201112202
4311130001321223000
51420002403431323
642205342012332
74100615600210
oct653401715300
9174083821482
1057378577088
1122374790248
12b153b770a8
135545626281
142ac4676240
15175c53ed28
hexd5c079ac0

57378577088 has 112 divisors (see below), whose sum is σ = 131941336320. Its totient is φ = 24249977856.

The previous prime is 57378577079. The next prime is 57378577103. The reversal of 57378577088 is 88077587375.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×573785770882 (a number of 22 digits) contains 22 as substring.

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, 10974731 + ... + 10979957.

Almost surely, 257378577088 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 57378577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65970668160).

57378577088 is an abundant number, since it is smaller than the sum of its proper divisors (74562759232).

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

57378577088 is a wasteful number, since it uses less digits than its factorization.

57378577088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 65.

The spelling of 57378577088 in words is "fifty-seven billion, three hundred seventy-eight million, five hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 229 428 448 458 749 856 916 1498 1603 1712 1832 2996 3206 3424 3664 5227 5992 6412 6848 7328 10454 11984 12824 14656 20908 23968 24503 25648 36589 41816 47936 49006 51296 73178 83632 98012 102592 146356 167264 171521 196024 292712 334528 343042 392048 559289 585424 686084 784096 1118578 1170848 1196983 1372168 1568192 2237156 2341696 2393966 2744336 3915023 4474312 4787932 5488672 7830046 8378881 8948624 9575864 10977344 15660092 16757762 17897248 19151728 31320184 33515524 35794496 38303456 62640368 67031048 76606912 125280736 128077181 134062096 250561472 256154362 268124192 512308724 536248384 896540267 1024617448 1793080534 2049234896 3586161068 4098469792 7172322136 8196939584 14344644272 28689288544 57378577088