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10116868580 = 22571340913591
BaseRepresentation
bin10010110110000001…
…10010100111100100
3222010001200011200022
421123000302213210
5131204404243310
64351515334312
7505463651450
oct113300624744
928101604608
1010116868580
114321788115
121b64151398
13c52c88c90
146bd8a5660
153e3295a55
hex25b0329e4

10116868580 has 96 divisors (see below), whose sum is σ = 26214074880. Its totient is φ = 3193758720.

The previous prime is 10116868579. The next prime is 10116868607. The reversal of 10116868580 is 8586861101.

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, 737585 + ... + 751175.

It is an arithmetic number, because the mean of its divisors is an integer number (273063280).

Almost surely, 210116868580 is an apocalyptic number.

10116868580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116868580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107037440).

10116868580 is an abundant number, since it is smaller than the sum of its proper divisors (16097206300).

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

10116868580 is a wasteful number, since it uses less digits than its factorization.

10116868580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The spelling of 10116868580 in words is "ten billion, one hundred sixteen million, eight hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 409 455 818 910 1636 1820 2045 2863 4090 5317 5726 8180 10634 11452 13591 14315 21268 26585 27182 28630 37219 53170 54364 57260 67955 74438 95137 106340 135910 148876 176683 186095 190274 271820 353366 372190 380548 475685 706732 744380 883415 951370 1236781 1766830 1902740 2473562 3533660 4947124 5558719 6183905 11117438 12367810 22234876 24735620 27793595 38911033 55587190 72263347 77822066 111174380 144526694 155644132 194555165 289053388 361316735 389110330 505843429 722633470 778220660 1011686858 1445266940 2023373716 2529217145 5058434290 10116868580