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10104714180 = 223251129175979
BaseRepresentation
bin10010110100100100…
…11011001111000100
3222002012210122222100
421122102123033010
5131143301323210
64350403032100
7505255440051
oct113222331704
928065718870
1010104714180
114315936360
121b6006b630
13c505c1922
146bc020028
153e21945c0
hex25a49b3c4

10104714180 has 144 divisors (see below), whose sum is σ = 34590628800. Its totient is φ = 2365144320.

The previous prime is 10104714161. The next prime is 10104714211. The reversal of 10104714180 is 8141740101.

10104714180 is a `hidden beast` number, since 1 + 0 + 10 + 471 + 4 + 180 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30570 + ... + 145409.

It is an arithmetic number, because the mean of its divisors is an integer number (240212700).

Almost surely, 210104714180 is an apocalyptic number.

10104714180 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 10104714180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295314400).

10104714180 is an abundant number, since it is smaller than the sum of its proper divisors (24485914620).

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

10104714180 is a wasteful number, since it uses less digits than its factorization.

10104714180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176034 (or 176029 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10104714180 in words is "ten billion, one hundred four million, seven hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 175979 351958 527937 703916 879895 1055874 1583811 1759790 1935769 2111748 2639685 3167622 3519580 3871538 5103391 5279370 5807307 6335244 7743076 7919055 9678845 10206782 10558740 11614614 15310173 15838110 17421921 19357690 20413564 23229228 25516955 29036535 30620346 31676220 34843842 38715380 45930519 51033910 56137301 58073070 61240692 69687684 76550865 87109605 91861038 102067820 112274602 116146140 153101730 168411903 174219210 183722076 224549204 229652595 280686505 306203460 336823806 348438420 459305190 505235709 561373010 673647612 842059515 918610380 1010471418 1122746020 1684119030 2020942836 2526178545 3368238060 5052357090 10104714180