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57807830640 = 24357162721149
BaseRepresentation
bin110101110101100111…
…010111111001110000
312112012201122001201110
4311311213113321300
51421342301040030
642320114233320
74114350311250
oct656547277160
9175181561643
1057807830640
112257501684a
12b253885840
1355b353ab61
142b25693960
1517850811b0
hexd759d7e70

57807830640 has 160 divisors (see below), whose sum is σ = 204940454400. Its totient is φ = 13204472832.

The previous prime is 57807830627. The next prime is 57807830797. The reversal of 57807830640 is 4603870875.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57807830640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2722786 + ... + 2743934.

It is an arithmetic number, because the mean of its divisors is an integer number (1280877840).

Almost surely, 257807830640 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 57807830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102470227200).

57807830640 is an abundant number, since it is smaller than the sum of its proper divisors (147132623760).

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

57807830640 is a wasteful number, since it uses less digits than its factorization.

57807830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22799 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 57807830640 in words is "fifty-seven billion, eight hundred seven million, eight hundred thirty thousand, six hundred forty".

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 1627 1680 3254 4881 6508 8135 9762 11389 13016 16270 19524 21149 22778 24405 26032 32540 34167 39048 42298 45556 48810 56945 63447 65080 68334 78096 84596 91112 97620 105745 113890 126894 130160 136668 148043 169192 170835 182224 195240 211490 227780 253788 273336 296086 317235 338384 341670 390480 422980 444129 455560 507576 546672 592172 634470 683340 740215 845960 888258 911120 1015152 1184344 1268940 1366680 1480430 1691920 1776516 2220645 2368688 2537880 2733360 2960860 3553032 4441290 5075760 5921720 7106064 8882580 11843440 17765160 34409423 35530320 68818846 103228269 137637692 172047115 206456538 240865961 275275384 344094230 412913076 481731922 516141345 550550768 688188460 722597883 825826152 963463844 1032282690 1204329805 1376376920 1445195766 1651652304 1926927688 2064565380 2408659610 2752753840 2890391532 3612989415 3853855376 4129130760 4817319220 5780783064 7225978830 8258261520 9634638440 11561566128 14451957660 19269276880 28903915320 57807830640