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57739641376 = 2537414725307
BaseRepresentation
bin110101110001100011…
…010000001000100000
312112000222022200122011
4311301203100020200
51421222322011001
642305240522304
74112561565604
oct656143201040
9175028280564
1057739641376
112253a58218a
12b234a80394
1355a2384591
142b1a5c3504
15177e0b1d51
hexd718d0220

57739641376 has 96 divisors (see below), whose sum is σ = 122144101632. Its totient is φ = 26820311040.

The previous prime is 57739641359. The next prime is 57739641397. The reversal of 57739641376 is 67314693775.

It is a self number, because there is not a number n which added to its sum of digits gives 57739641376.

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 15 ways as a sum of consecutive naturals, for example, 2268915 + ... + 2294221.

It is an arithmetic number, because the mean of its divisors is an integer number (1272334392).

Almost surely, 257739641376 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 57739641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072050816).

57739641376 is an abundant number, since it is smaller than the sum of its proper divisors (64404460256).

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

57739641376 is a wasteful number, since it uses less digits than its factorization.

57739641376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25442 (or 25434 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 58.

The spelling of 57739641376 in words is "fifty-seven billion, seven hundred thirty-nine million, six hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 41 47 74 82 94 148 164 188 296 328 376 592 656 752 1184 1312 1504 1517 1739 1927 3034 3478 3854 6068 6956 7708 12136 13912 15416 24272 25307 27824 30832 48544 50614 55648 61664 71299 101228 142598 202456 285196 404912 570392 809824 936359 1037587 1140784 1189429 1872718 2075174 2281568 2378858 3745436 4150348 4757716 7490872 8300696 9515432 14981744 16601392 19030864 29963488 33202784 38061728 38390719 44008873 48766589 76781438 88017746 97533178 153562876 176035492 195066356 307125752 352070984 390132712 614251504 704141968 780265424 1228503008 1408283936 1560530848 1804363793 3608727586 7217455172 14434910344 28869820688 57739641376