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57025914960 = 2435743397823
BaseRepresentation
bin110101000111000000…
…100110100001010000
312110012020022122001110
4311013000212201100
51413242113234320
642110343133320
74056104164560
oct650700464120
9173166278043
1057025914960
1122203707a43
12b075a44240
1354ba54a461
142a8d8b4da0
15173b5cc5e0
hexd47026850

57025914960 has 160 divisors (see below), whose sum is σ = 202107064320. Its totient is φ = 13029825024.

The previous prime is 57025914947. The next prime is 57025914983. The reversal of 57025914960 is 6941952075.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7285609 + ... + 7293431.

It is an arithmetic number, because the mean of its divisors is an integer number (1263169152).

Almost surely, 257025914960 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 57025914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101053532160).

57025914960 is an abundant number, since it is smaller than the sum of its proper divisors (145081149360).

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

57025914960 is a wasteful number, since it uses less digits than its factorization.

57025914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 57025914960 in words is "fifty-seven billion, twenty-five million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4339 7823 8678 13017 15646 17356 21695 23469 26034 30373 31292 34712 39115 43390 46938 52068 54761 60746 62584 65085 69424 78230 86780 91119 93876 104136 109522 117345 121492 125168 130170 151865 156460 164283 173560 182238 187752 208272 219044 234690 242984 260340 273805 303730 312920 328566 347120 364476 375504 438088 455595 469380 485968 520680 547610 607460 625840 657132 728952 821415 876176 911190 938760 1041360 1095220 1214920 1314264 1457904 1642830 1822380 1877520 2190440 2429840 2628528 3285660 3644760 4380880 6571320 7289520 13142640 33943997 67887994 101831991 135775988 169719985 203663982 237607979 271551976 339439970 407327964 475215958 509159955 543103952 678879940 712823937 814655928 950431916 1018319910 1188039895 1357759880 1425647874 1629311856 1900863832 2036639820 2376079790 2715519760 2851295748 3564119685 3801727664 4073279640 4752159580 5702591496 7128239370 8146559280 9504319160 11405182992 14256478740 19008638320 28512957480 57025914960