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57415021686 = 232112971913907
BaseRepresentation
bin110101011110001100…
…111011010001110110
312111012100111022010200
4311132030323101312
51420041221143221
642213123101330
74101540426531
oct653614732166
9174170438120
1057415021686
1122393312650
12b164211846
135550046719
142ac9441a18
15176083d426
hexd5e33b476

57415021686 has 96 divisors (see below), whose sum is σ = 140593190400. Its totient is φ = 16773973440.

The previous prime is 57415021679. The next prime is 57415021717. The reversal of 57415021686 is 68612051475.

57415021686 is a `hidden beast` number, since 57 + 4 + 1 + 502 + 16 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4121545 + ... + 4135451.

It is an arithmetic number, because the mean of its divisors is an integer number (1464512400).

Almost surely, 257415021686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57415021686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70296595200).

57415021686 is an abundant number, since it is smaller than the sum of its proper divisors (83178168714).

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

57415021686 is a wasteful number, since it uses less digits than its factorization.

57415021686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14671 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57415021686 in words is "fifty-seven billion, four hundred fifteen million, twenty-one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 719 957 1438 1914 2157 2871 4314 5742 6471 7909 12942 13907 15818 20851 23727 27814 41702 41721 47454 62553 71181 83442 125106 125163 142362 152977 187659 229361 250326 305954 375318 403303 458722 458931 688083 806606 917862 1209909 1376166 1376793 2064249 2419818 2753586 3629727 4128498 4436333 7259454 8872666 9999133 13308999 19998266 26617998 29997399 39926997 59994798 79853994 89992197 109990463 179984394 219980926 289974857 329971389 579949714 659942778 869924571 989914167 1739849142 1979828334 2609773713 3189723427 5219547426 6379446854 9569170281 19138340562 28707510843 57415021686