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57061631680 = 2655316320641
BaseRepresentation
bin110101001001001000…
…110110011011000000
312110021201112020011221
4311021020312123000
51413330234203210
642114100444424
74060016603134
oct651110663300
9173251466157
1057061631680
1122221892499
12b0859a9714
1354c4a74501
142a945313c4
15173e7d51da
hexd492366c0

57061631680 has 112 divisors (see below), whose sum is σ = 139297830624. Its totient is φ = 22255534080.

The previous prime is 57061631609. The next prime is 57061631743. The reversal of 57061631680 is 8613616075.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754160 + ... + 2774800.

Almost surely, 257061631680 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 57061631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69648915312).

57061631680 is an abundant number, since it is smaller than the sum of its proper divisors (82236198944).

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

57061631680 is a wasteful number, since it uses less digits than its factorization.

57061631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20874 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 57061631680 in words is "fifty-seven billion, sixty-one million, six hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 163 212 265 320 326 424 530 652 815 848 1060 1304 1630 1696 2120 2608 3260 3392 4240 5216 6520 8480 8639 10432 13040 16960 17278 20641 26080 34556 41282 43195 52160 69112 82564 86390 103205 138224 165128 172780 206410 276448 330256 345560 412820 552896 660512 691120 825640 1093973 1321024 1382240 1651280 2187946 2764480 3302560 3364483 4375892 5469865 6605120 6728966 8751784 10939730 13457932 16822415 17503568 21879460 26915864 33644830 35007136 43758920 53831728 67289660 70014272 87517840 107663456 134579320 175035680 178317599 215326912 269158640 350071360 356635198 538317280 713270396 891587995 1076634560 1426540792 1783175990 2853081584 3566351980 5706163168 7132703960 11412326336 14265407920 28530815840 57061631680