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57420994824 = 23336115832753
BaseRepresentation
bin110101011110100011…
…101101100100001000
312111012202201202202000
4311132203231210020
51420044233313244
642213455111000
74101642255114
oct653643554410
9174182652660
1057420994824
1122396722326
12b166212460
13555135841b
142aca158744
15176111d169
hexd5e8ed908

57420994824 has 128 divisors (see below), whose sum is σ = 162278899200. Its totient is φ = 18807828480.

The previous prime is 57420994811. The next prime is 57420994831. The reversal of 57420994824 is 42849902475.

It is a happy number.

57420994824 is a `hidden beast` number, since 5 + 74 + 2 + 0 + 99 + 482 + 4 = 666.

57420994824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20856232 + ... + 20858984.

It is an arithmetic number, because the mean of its divisors is an integer number (1267803900).

Almost surely, 257420994824 is an apocalyptic number.

57420994824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57420994824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81139449600).

57420994824 is an abundant number, since it is smaller than the sum of its proper divisors (104857904376).

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

57420994824 is a wasteful number, since it uses less digits than its factorization.

57420994824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57420994824 in words is "fifty-seven billion, four hundred twenty million, nine hundred ninety-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1583 1647 2196 2753 3166 3294 4392 4749 5506 6332 6588 8259 9498 11012 12664 13176 14247 16518 18996 22024 24777 28494 33036 37992 42741 49554 56988 66072 74331 85482 96563 99108 113976 148662 167933 170964 193126 198216 289689 297324 335866 341928 386252 503799 579378 594648 671732 772504 869067 1007598 1158756 1343464 1511397 1738134 2015196 2317512 2607201 3022794 3476268 4030392 4357999 4534191 5214402 6045588 6952536 8715998 9068382 10428804 12091176 13073997 17431996 18136764 20857608 26147994 34863992 36273528 39221991 52295988 78443982 104591976 117665973 156887964 235331946 265837939 313775928 470663892 531675878 797513817 941327784 1063351756 1595027634 2126703512 2392541451 3190055268 4785082902 6380110536 7177624353 9570165804 14355248706 19140331608 28710497412 57420994824