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58879993104 = 24327322772
BaseRepresentation
bin110110110101100001…
…010110010100010000
312121222110002120010100
4312311201112110100
51431041234234404
643014334332400
74153046453322
oct666541262420
9177873076110
1058879993104
1122a75248329
12b4b295a100
1357246c2c0a
142bc7c27612
1517e9268d39
hexdb5856510

58879993104 has 135 divisors (see below), whose sum is σ = 167675734863. Its totient is φ = 19287922176.

The previous prime is 58879993099. The next prime is 58879993201. The reversal of 58879993104 is 40139997885.

The square root of 58879993104 is 242652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4795839504 + 54084153600 = 69252^2 + 232560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 212563014 + ... + 212563290.

Almost surely, 258879993104 is an apocalyptic number.

58879993104 is the 242652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58879993104

58879993104 is an abundant number, since it is smaller than the sum of its proper divisors (108795741759).

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

58879993104 is an equidigital number, since it uses as much as digits as its factorization.

58879993104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 58879993104 in words is "fifty-eight billion, eight hundred seventy-nine million, nine hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 277 292 438 554 584 657 831 876 1108 1168 1314 1662 1752 2216 2493 2628 3324 3504 4432 4986 5256 5329 6648 9972 10512 10658 13296 15987 19944 20221 21316 31974 39888 40442 42632 47961 60663 63948 76729 80884 85264 95922 121326 127896 153458 161768 181989 191844 230187 242652 255792 306916 323536 363978 383688 460374 485304 613832 690561 727956 767376 920748 970608 1227664 1381122 1455912 1476133 1841496 2762244 2911824 2952266 3682992 4428399 5524488 5601217 5904532 8856798 11048976 11202434 11809064 13285197 16803651 17713596 22404868 23618128 26570394 33607302 35427192 44809736 50410953 53140788 67214604 70854384 89619472 100821906 106281576 134429208 201643812 212563152 268858416 403287624 408888841 806575248 817777682 1226666523 1635555364 2453333046 3271110728 3679999569 4906666092 6542221456 7359999138 9813332184 14719998276 19626664368 29439996552 58879993104