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57377242944 = 263471581163
BaseRepresentation
bin110101011011111100…
…110011111101000000
312111002201101221110000
4311123330303331000
51420002033233234
642205253240000
74100601342450
oct653374637500
9174081357400
1057377242944
1122373a5994a
12b153633000
135545279c38
142ac4409d60
15175c379899
hexd5bf33f40

57377242944 has 140 divisors (see below), whose sum is σ = 194381977504. Its totient is φ = 16393487616.

The previous prime is 57377242943. The next prime is 57377242973. The reversal of 57377242944 is 44924277375.

57377242944 is a `hidden beast` number, since 573 + 7 + 7 + 2 + 4 + 29 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57377242943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 754294 + ... + 826869.

Almost surely, 257377242944 is an apocalyptic number.

57377242944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57377242944 is an abundant number, since it is smaller than the sum of its proper divisors (137004734560).

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

57377242944 is a wasteful number, since it uses less digits than its factorization.

57377242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581194 (or 1581175 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 57377242944 in words is "fifty-seven billion, three hundred seventy-seven million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 1581163 3162326 4743489 6324652 9486978 11068141 12649304 14230467 18973956 22136282 25298608 28460934 33204423 37947912 42691401 44272564 50597216 56921868 66408846 75895824 85382802 88545128 99613269 101194432 113843736 128074203 132817692 151791648 170765604 177090256 199226538 227687472 256148406 265635384 298839807 303583296 341531208 354180512 398453076 455374944 512296812 531270768 597679614 683062416 708361024 796906152 896519421 910749888 1024593624 1062541536 1195359228 1366124832 1593812304 1793038842 2049187248 2125083072 2390718456 2732249664 3187624608 3586077684 4098374496 4781436912 6375249216 7172155368 8196748992 9562873824 14344310736 19125747648 28688621472 57377242944