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57151912428 = 2232131373312693
BaseRepresentation
bin110101001110100001…
…001111100111101100
312110112000101222002100
4311032201033213230
51414021342144203
642131043455100
74062164145252
oct651641174754
9173460358070
1057151912428
1122268845786
12b0b0087490
13550a694180
142aa25125d2
1517476b9ea3
hexd4e84f9ec

57151912428 has 144 divisors (see below), whose sum is σ = 157247659296. Its totient is φ = 17397642240.

The previous prime is 57151912421. The next prime is 57151912453. The reversal of 57151912428 is 82421915175.

57151912428 is a `hidden beast` number, since 5 + 7 + 1 + 519 + 124 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (57151912421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21221050 + ... + 21223742.

It is an arithmetic number, because the mean of its divisors is an integer number (1091997634).

Almost surely, 257151912428 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 57151912428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78623829648).

57151912428 is an abundant number, since it is smaller than the sum of its proper divisors (100095746868).

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

57151912428 is a wasteful number, since it uses less digits than its factorization.

57151912428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3179 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 57151912428 in words is "fifty-seven billion, one hundred fifty-one million, nine hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 331 411 468 548 662 822 993 1233 1324 1644 1781 1986 2466 2693 2979 3562 3972 4303 4932 5343 5386 5958 7124 8079 8606 10686 10772 11916 12909 16029 16158 17212 21372 24237 25818 32058 32316 35009 38727 45347 48474 51636 64116 70018 77454 90694 96948 105027 136041 140036 154908 181388 210054 272082 315081 368941 408123 420108 544164 589511 630162 737882 816246 891383 1106823 1179022 1260324 1475764 1632492 1768533 1782766 2213646 2358044 2674149 3320469 3537066 3565532 4427292 4796233 5305599 5348298 6640938 7074132 8022447 9592466 10611198 10696596 11587979 13281876 14388699 16044894 19184932 21222396 23175958 28777398 32089788 34763937 43166097 46351916 57554796 69527874 86332194 104291811 122119471 139055748 172664388 208583622 244238942 366358413 417167244 488477884 732716826 1099075239 1465433652 1587553123 2198150478 3175106246 4396300956 4762659369 6350212492 9525318738 14287978107 19050637476 28575956214 57151912428