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57163431060 = 223252416911907
BaseRepresentation
bin110101001111001101…
…001011110010010100
312110112211002011200100
4311033031023302110
51414032314243220
642132134414100
74062364101261
oct651715136224
9173484064610
1057163431060
11222742a290a
12b0b3b01330
13550cb98028
142aa3c70268
1517486e2d90
hexd4f34bc94

57163431060 has 144 divisors (see below), whose sum is σ = 174458636352. Its totient is φ = 15150412800.

The previous prime is 57163431049. The next prime is 57163431197. The reversal of 57163431060 is 6013436175.

57163431060 is a `hidden beast` number, since 5 + 7 + 1 + 634 + 3 + 10 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 29974627 + ... + 29976533.

It is an arithmetic number, because the mean of its divisors is an integer number (1211518308).

Almost surely, 257163431060 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 57163431060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87229318176).

57163431060 is an abundant number, since it is smaller than the sum of its proper divisors (117295205292).

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

57163431060 is a wasteful number, since it uses less digits than its factorization.

57163431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 57163431060 in words is "fifty-seven billion, one hundred sixty-three million, four hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 691 723 964 1205 1382 1446 1907 2073 2169 2410 2764 2892 3455 3615 3814 4146 4338 4820 5721 6219 6910 7230 7628 8292 8676 9535 10365 10845 11442 12438 13820 14460 17163 19070 20730 21690 22884 24876 28605 31095 34326 38140 41460 43380 57210 62190 68652 85815 114420 124380 166531 171630 333062 343260 459587 499593 666124 832655 919174 999186 1317737 1378761 1498779 1665310 1838348 1998372 2297935 2497965 2635474 2757522 2997558 3330620 3953211 4136283 4595870 4995930 5270948 5515044 5995116 6588685 6893805 7493895 7906422 8272566 9191740 9991860 11859633 13177370 13787610 14987790 15812844 16545132 19766055 20681415 23719266 26354740 27575220 29975580 39532110 41362830 47438532 59298165 79064220 82725660 118596330 237192660 317574617 635149234 952723851 1270298468 1587873085 1905447702 2858171553 3175746170 3810895404 4763619255 5716343106 6351492340 9527238510 11432686212 14290857765 19054477020 28581715530 57163431060