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180232379964 = 223372132619809
BaseRepresentation
bin1010011111011010101…
…1111101111000111100
3122020012201000112122000
42213312223331320330
510423103442124324
6214444141222300
716010216644500
oct2476653757074
9566181015560
10180232379964
116a48853073a
122ab1b561990
1313cc3b27ba0
148a1aa0a300
154a4cd0b9c9
hex29f6afde3c

180232379964 has 144 divisors (see below), whose sum is σ = 585370346400. Its totient is φ = 47533796352.

The previous prime is 180232379963. The next prime is 180232380037. The reversal of 180232379964 is 469973232081.

180232379964 is a `hidden beast` number, since 180 + 2 + 3 + 2 + 379 + 96 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180232379964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180232379963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241109 + ... + 1378700.

It is an arithmetic number, because the mean of its divisors is an integer number (4065071850).

Almost surely, 2180232379964 is an apocalyptic number.

180232379964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

180232379964 is an abundant number, since it is smaller than the sum of its proper divisors (405137966436).

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

180232379964 is a wasteful number, since it uses less digits than its factorization.

180232379964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619849 (or 2619834 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 180232379964 in words is "one hundred eighty billion, two hundred thirty-two million, three hundred seventy-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 2619809 5239618 7859427 10479236 15718854 18338663 23578281 31437708 34057517 36677326 47156562 55015989 68115034 70734843 73354652 94313124 102172551 110031978 128370641 136230068 141469686 165047967 204345102 220063956 238402619 256741282 282939372 306517653 330095934 385111923 408690204 476805238 495143901 513482564 613035306 660191868 715207857 770223846 919552959 953610476 990287802 1155335769 1226070612 1430415714 1540447692 1668818333 1839105918 1980575604 2145623571 2310671538 2860831428 3337636666 3466007307 3678211836 4291247142 4621343076 5006454999 6436870713 6675273332 6932014614 8582494284 10012909998 12873741426 13864029228 15019364997 20025819996 25747482852 30038729994 45058094991 60077459988 90116189982 180232379964