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18831686803146 = 23371716603176507
BaseRepresentation
bin1000100100000100110000…
…00000001001111011001010
32110200021212122001202222000
410102002120000021323022
54432014243310200041
6104015054003411430
73652354516504050
oct422023000117312
973607778052860
1018831686803146
116000523294168
122141859983b76
13a67a886999b9
1449165c1ca1d0
15229cc6e1cbb6
hex112098009eca

18831686803146 has 128 divisors (see below), whose sum is σ = 50643167016960. Its totient is φ = 5063649313536.

The previous prime is 18831686803117. The next prime is 18831686803157. The reversal of 18831686803146 is 64130868613881.

18831686803146 is a `hidden beast` number, since 1 + 8 + 83 + 168 + 6 + 80 + 314 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106602625 + ... + 106779131.

It is an arithmetic number, because the mean of its divisors is an integer number (395649742320).

Almost surely, 218831686803146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18831686803146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25321583508480).

18831686803146 is an abundant number, since it is smaller than the sum of its proper divisors (31811480213814).

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

18831686803146 is a wasteful number, since it uses less digits than its factorization.

18831686803146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193145 (or 193139 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 18831686803146 in words is "eighteen trillion, eight hundred thirty-one billion, six hundred eighty-six million, eight hundred three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 16603 33206 49809 99618 116221 149427 176507 232442 282251 298854 348663 353014 448281 529521 564502 697326 846753 896562 1045989 1059042 1235549 1588563 1693506 1975757 2091978 2471098 2540259 3000619 3137967 3177126 3706647 3951514 4765689 5080518 5927271 6001238 6275934 7413294 7620777 9001857 9531378 11119941 11854542 15241554 17781813 18003714 21004333 22239882 27005571 33359823 35563626 42008666 53345439 54011142 63012999 66719646 81016713 106690878 126025998 162033426 189038997 378077994 567116991 1134233982 2930545721 5861091442 8791637163 17583274326 20513820047 26374911489 41027640094 49819277257 52749822978 61541460141 79124734467 99638554514 123082920282 149457831771 158249468934 184624380423 298915663542 348734940799 369248760846 448373495313 553873141269 697469881598 896746990626 1046204822397 1107746282538 1345120485939 2092409644794 2690240971878 3138614467191 6277228934382 9415843401573 18831686803146