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57160128504 = 233191277611297
BaseRepresentation
bin110101001111000000…
…100101011111111000
312110112120212101102110
4311033000211133320
51414030443103004
642131535532320
74062324034653
oct651700453770
9173476771373
1057160128504
1122272447626
12b0b298a0a0
13550c2aca5b
142aa365089a
15174828e589
hexd4f0257f8

57160128504 has 128 divisors (see below), whose sum is σ = 151922073600. Its totient is φ = 17871114240.

The previous prime is 57160128481. The next prime is 57160128539. The reversal of 57160128504 is 40582106175.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44070384 + ... + 44071680.

It is an arithmetic number, because the mean of its divisors is an integer number (1186891200).

Almost surely, 257160128504 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 57160128504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75961036800).

57160128504 is an abundant number, since it is smaller than the sum of its proper divisors (94761945096).

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

57160128504 is a wasteful number, since it uses less digits than its factorization.

57160128504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 57160128504 in words is "fifty-seven billion, one hundred sixty million, one hundred twenty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 761 762 1016 1297 1522 1524 2283 2413 2594 3044 3048 3891 4566 4826 5188 6088 7239 7782 9132 9652 10376 14459 14478 15564 18264 19304 24643 28918 28956 31128 43377 49286 57836 57912 73929 86754 96647 98572 115672 147858 164719 173508 193294 197144 289941 295716 329438 347016 386588 494157 579882 591432 658876 773176 987017 988314 1159764 1317752 1836293 1974034 1976628 2319528 2961051 3129661 3672586 3948068 3953256 5508879 5922102 6259322 7345172 7896136 9388983 11017758 11844204 12518644 14690344 18753323 18777966 22035516 23688408 25037288 37506646 37555932 44071032 56259969 75013292 75111864 112519938 125351159 150026584 225039876 250702318 376053477 450079752 501404636 752106954 1002809272 1504213908 2381672021 3008427816 4763344042 7145016063 9526688084 14290032126 19053376168 28580064252 57160128504