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19344214944 = 2532193535127
BaseRepresentation
bin10010000001000000…
…010100101110100000
31211221010112221021100
4102001000110232200
5304104104334234
612515301354400
71253240054055
oct220100245640
954833487240
1019344214944
118227339aaa
1238ba408a00
131a93879742
14d1717b02c
157833ce399
hex481014ba0

19344214944 has 72 divisors (see below), whose sum is σ = 57905396640. Its totient is φ = 6108697728.

The previous prime is 19344214937. The next prime is 19344214991. The reversal of 19344214944 is 44941244391.

19344214944 is a `hidden beast` number, since 1 + 9 + 344 + 214 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19344214944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762092 + ... + 1773035.

It is an arithmetic number, because the mean of its divisors is an integer number (804241620).

Almost surely, 219344214944 is an apocalyptic number.

It is an amenable number.

19344214944 is an abundant number, since it is smaller than the sum of its proper divisors (38561181696).

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

19344214944 is a wasteful number, since it uses less digits than its factorization.

19344214944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535162 (or 3535151 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 19344214944 in words is "nineteen billion, three hundred forty-four million, two hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 3535127 7070254 10605381 14140508 21210762 28281016 31816143 42421524 56562032 63632286 67167413 84843048 113124064 127264572 134334826 169686096 201502239 254529144 268669652 339372192 403004478 509058288 537339304 604506717 806008956 1018116576 1074678608 1209013434 1612017912 2149357216 2418026868 3224035824 4836053736 6448071648 9672107472 19344214944