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13005535104 = 273223490849
BaseRepresentation
bin11000001110011000…
…01011011110000000
31020120101012122012100
430013030023132000
5203113404110404
65550305430400
7640201136652
oct140714133600
936511178170
1013005535104
115574316021
12262b63b400
1312c358c203
148b53aa6d2
15511b96d39
hex30730b780

13005535104 has 96 divisors (see below), whose sum is σ = 39052026000. Its totient is φ = 4146683904.

The previous prime is 13005535097. The next prime is 13005535129. The reversal of 13005535104 is 40153550031.

13005535104 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 553 + 5 + 104 = 666.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218929 + ... + 271920.

Almost surely, 213005535104 is an apocalyptic number.

It is an amenable number.

13005535104 is an abundant number, since it is smaller than the sum of its proper divisors (26046490896).

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

13005535104 is a wasteful number, since it uses less digits than its factorization.

13005535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490892 (or 490877 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13005535104 in words is "thirteen billion, five million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 490849 981698 1472547 1963396 2945094 3926792 4417641 5890188 7853584 8835282 11289527 11780376 15707168 17670564 22579054 23560752 31414336 33868581 35341128 45158108 47121504 62828672 67737162 70682256 90316216 94243008 101605743 135474324 141364512 180632432 188486016 203211486 270948648 282729024 361264864 406422972 541897296 565458048 722529728 812845944 1083794592 1445059456 1625691888 2167589184 3251383776 4335178368 6502767552 13005535104