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13789714464 = 2532354713499
BaseRepresentation
bin11001101011110111…
…00101100000100000
31022121000210002001100
430311323211200200
5211220131330324
610200201234400
7665502432111
oct146573454040
938530702040
1013789714464
115936a30639
12280a192a00
1313b9b93076
1494b5b8208
1555a9464c9
hex335ee5820

13789714464 has 72 divisors (see below), whose sum is σ = 39228462000. Its totient is φ = 4594935168.

The previous prime is 13789714457. The next prime is 13789714487. The reversal of 13789714464 is 46441798731.

It is a happy number.

13789714464 is a `hidden beast` number, since 1 + 37 + 89 + 71 + 4 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13789714464.

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, 1014787 + ... + 1028285.

It is an arithmetic number, because the mean of its divisors is an integer number (544839750).

Almost surely, 213789714464 is an apocalyptic number.

It is an amenable number.

13789714464 is an abundant number, since it is smaller than the sum of its proper divisors (25438747536).

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

13789714464 is a wasteful number, since it uses less digits than its factorization.

13789714464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17062 (or 17051 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13789714464 in words is "thirteen billion, seven hundred eighty-nine million, seven hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3547 7094 10641 13499 14188 21282 26998 28376 31923 40497 42564 53996 56752 63846 80994 85128 107992 113504 121491 127692 161988 170256 215984 242982 255384 323976 340512 431968 485964 510768 647952 971928 1021536 1295904 1943856 3887712 47880953 95761906 143642859 191523812 287285718 383047624 430928577 574571436 766095248 861857154 1149142872 1532190496 1723714308 2298285744 3447428616 4596571488 6894857232 13789714464