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13740402456 = 233211171020529
BaseRepresentation
bin11001100101111110…
…11110011100011000
31022110120222202200200
430302333132130120
5211120020334311
610151240302200
7664333331244
oct146277363430
938416882620
1013740402456
11591110a810
1227b5771960
1313ac8b8b71
14944c1d424
15556455556
hex332fde718

13740402456 has 96 divisors (see below), whose sum is σ = 42984723600. Its totient is φ = 3918827520.

The previous prime is 13740402433. The next prime is 13740402479. The reversal of 13740402456 is 65420404731.

13740402456 is a `hidden beast` number, since 1 + 3 + 7 + 404 + 0 + 245 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13740402433) and next prime (13740402479).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13740402456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496801 + ... + 523728.

Almost surely, 213740402456 is an apocalyptic number.

It is an amenable number.

13740402456 is an abundant number, since it is smaller than the sum of its proper divisors (29244321144).

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

13740402456 is a wasteful number, since it uses less digits than its factorization.

13740402456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020569 (or 1020562 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13740402456 in words is "thirteen billion, seven hundred forty million, four hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 1020529 2041058 3061587 4082116 6123174 8164232 9184761 11225819 12246348 17348993 18369522 22451638 24492696 33677457 34697986 36739044 44903276 52046979 67354914 69395972 73478088 89806552 101032371 104093958 134709828 138791944 156140937 190838923 202064742 208187916 269419656 312281874 381677846 404129484 416375832 572516769 624563748 763355692 808258968 1145033538 1249127496 1526711384 1717550307 2290067076 3435100614 4580134152 6870201228 13740402456