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58109980392 = 23338914472089
BaseRepresentation
bin110110000111100111…
…111110111011101000
312112222210011212021000
4312013213332323220
51423002123333032
642410110315000
74125006453312
oct660747767350
9175883155230
1058109980392
112270a629392
12b318ab8a60
13563100c2a9
142b538667b2
1517a1866e7c
hexd879feee8

58109980392 has 128 divisors (see below), whose sum is σ = 163421280000. Its totient is φ = 19129955328.

The previous prime is 58109980373. The next prime is 58109980421. The reversal of 58109980392 is 29308990185.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27816084 + ... + 27818172.

It is an arithmetic number, because the mean of its divisors is an integer number (1276728750).

Almost surely, 258109980392 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 58109980392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81710640000).

58109980392 is an abundant number, since it is smaller than the sum of its proper divisors (105311299608).

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

58109980392 is a wasteful number, since it uses less digits than its factorization.

58109980392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 58109980392 in words is "fifty-eight billion, one hundred nine million, nine hundred eighty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1447 1602 2089 2136 2403 2894 3204 4178 4341 4806 5788 6267 6408 8356 8682 9612 11576 12534 13023 16712 17364 18801 19224 25068 26046 34728 37602 39069 50136 52092 56403 75204 78138 104184 112806 128783 150408 156276 185921 225612 257566 312552 371842 386349 451224 515132 557763 743684 772698 1030264 1115526 1159047 1487368 1545396 1673289 2231052 2318094 3022783 3090792 3346578 3477141 4462104 4636188 5019867 6045566 6693156 6954282 9068349 9272376 10039734 12091132 13386312 13908564 18136698 20079468 24182264 27205047 27817128 36273396 40158936 54410094 72546792 81615141 108820188 163230282 217640376 269027687 326460564 538055374 652921128 807083061 1076110748 1614166122 2152221496 2421249183 3228332244 4842498366 6456664488 7263747549 9684996732 14527495098 19369993464 29054990196 58109980392