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379257423072 = 253111291127817
BaseRepresentation
bin1011000010011011000…
…00010000010011100000
31100020221002202021200220
411201031200100103200
522203204400014242
6450121202443040
736254231622543
oct5411540202340
91306832667626
10379257423072
11136929a23340
1261604663480
13299c1167898
14144db41c85a
159cea899bec
hex584d8104e0

379257423072 has 96 divisors (see below), whose sum is σ = 1086178512384. Its totient is φ = 114913459200.

The previous prime is 379257423049. The next prime is 379257423109. The reversal of 379257423072 is 270324752973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13620108 + ... + 13647924.

It is an arithmetic number, because the mean of its divisors is an integer number (11314359504).

Almost surely, 2379257423072 is an apocalyptic number.

379257423072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379257423072 is an abundant number, since it is smaller than the sum of its proper divisors (706921089312).

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

379257423072 is a wasteful number, since it uses less digits than its factorization.

379257423072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40752 (or 40744 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 379257423072 in words is "three hundred seventy-nine billion, two hundred fifty-seven million, four hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12911 25822 27817 38733 51644 55634 77466 83451 103288 111268 142021 154932 166902 206576 222536 284042 305987 309864 333804 413152 426063 445072 568084 611974 619728 667608 852126 890144 917961 1136168 1223948 1239456 1335216 1704252 1835922 2272336 2447896 2670432 3408504 3671844 4544672 4895792 6817008 7343688 9791584 13634016 14687376 29374752 359145287 718290574 1077435861 1436581148 2154871722 2873162296 3950598157 4309743444 5746324592 7901196314 8619486888 11492649184 11851794471 15802392628 17238973776 23703588942 31604785256 34477947552 47407177884 63209570512 94814355768 126419141024 189628711536 379257423072