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379644468672 = 2637613146073
BaseRepresentation
bin1011000011001001001…
…00101101110111000000
31100021221002001020110010
411201210210231313000
522210002440444142
6450223430304520
736266641511430
oct5414444556700
91307832036403
10379644468672
11137008450437
12616b21b8140
1329a533c1951
14145369b02c0
159d1e84ee9c
hex586492ddc0

379644468672 has 112 divisors (see below), whose sum is σ = 1148184721152. Its totient is φ = 108449802240.

The previous prime is 379644468583. The next prime is 379644468737. The reversal of 379644468672 is 276864446973.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 8217028 + ... + 8263100.

It is an arithmetic number, because the mean of its divisors is an integer number (10251649296).

Almost surely, 2379644468672 is an apocalyptic number.

379644468672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379644468672 is an abundant number, since it is smaller than the sum of its proper divisors (768540252480).

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

379644468672 is a wasteful number, since it uses less digits than its factorization.

379644468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52226 (or 52216 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 66.

The spelling of 379644468672 in words is "three hundred seventy-nine billion, six hundred forty-four million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6131 12262 18393 24524 36786 42917 46073 49048 73572 85834 92146 98096 128751 138219 147144 171668 184292 196192 257502 276438 294288 322511 343336 368584 392384 515004 552876 588576 645022 686672 737168 967533 1030008 1105752 1177152 1290044 1373344 1474336 1935066 2060016 2211504 2580088 2746688 2948672 3870132 4120032 4423008 5160176 7740264 8240064 8846016 10320352 15480528 20640704 30961056 61922112 282473563 564947126 847420689 1129894252 1694841378 1977314941 2259788504 3389682756 3954629882 4519577008 5931944823 6779365512 7909259764 9039154016 11863889646 13558731024 15818519528 18078308032 23727779292 27117462048 31637039056 47455558584 54234924096 63274078112 94911117168 126548156224 189822234336 379644468672