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992160322272 = 253272931679669
BaseRepresentation
bin11100111000000010101…
…11010001001011100000
310111211221100200112101200
432130001113101023200
5112223421020303042
62035443035001200
7131452441406520
oct16340127211340
93454840615350
10992160322272
113528556aaa99
12140354599200
1372739029a92
1436041193680
151ac1d388c4c
hexe7015d12e0

992160322272 has 144 divisors (see below), whose sum is σ = 3235528164960. Its totient is φ = 282506720256.

The previous prime is 992160322253. The next prime is 992160322357. The reversal of 992160322272 is 272223061299.

992160322272 is a `hidden beast` number, since 99 + 216 + 0 + 322 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249147 + ... + 1430522.

It is an arithmetic number, because the mean of its divisors is an integer number (22468945590).

Almost surely, 2992160322272 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 992160322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617764082480).

992160322272 is an abundant number, since it is smaller than the sum of its proper divisors (2243367842688).

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

992160322272 is a wasteful number, since it uses less digits than its factorization.

992160322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679985 (or 1679974 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 992160322272 in words is "nine hundred ninety-two billion, one hundred sixty million, three hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 293 336 504 586 672 879 1008 1172 1758 2016 2051 2344 2637 3516 4102 4688 5274 6153 7032 8204 9376 10548 12306 14064 16408 18459 21096 24612 28128 32816 36918 42192 49224 65632 73836 84384 98448 147672 196896 295344 590688 1679669 3359338 5039007 6718676 10078014 11757683 13437352 15117021 20156028 23515366 26874704 30234042 35273049 40312056 47030732 53749408 60468084 70546098 80624112 94061464 105819147 120936168 141092196 161248224 188122928 211638294 241872336 282184392 376245856 423276588 483744672 492143017 564368784 846553176 984286034 1128737568 1476429051 1693106352 1968572068 2952858102 3386212704 3445001119 3937144136 4429287153 5905716204 6890002238 7874288272 8858574306 10335003357 11811432408 13780004476 15748576544 17717148612 20670006714 23622864816 27560008952 31005010071 35434297224 41340013428 47245729632 55120017904 62010020142 70868594448 82680026856 110240035808 124020040284 141737188896 165360053712 248040080568 330720107424 496080161136 992160322272