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13513005144 = 233420853403
BaseRepresentation
bin11001001010111000…
…00001100001011000
31021212202002210020000
430211130001201120
5210133312131034
610112514333000
7655602435312
oct144534014130
937782083200
1013513005144
115804814851
12275158a160
13137475b442
149229487b2
155414d8599
hex325701858

13513005144 has 40 divisors (see below), whose sum is σ = 37848928260. Its totient is φ = 4504334832.

The previous prime is 13513005137. The next prime is 13513005151. The reversal of 13513005144 is 44150031531.

It is a happy number.

13513005144 is a `hidden beast` number, since 1 + 3 + 513 + 0 + 0 + 5 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (13513005137) and next prime (13513005151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10426054 + ... + 10427349.

Almost surely, 213513005144 is an apocalyptic number.

It is an amenable number.

13513005144 is an abundant number, since it is smaller than the sum of its proper divisors (24335923116).

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

13513005144 is a wasteful number, since it uses less digits than its factorization.

13513005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20853421 (or 20853408 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13513005144 its reverse (44150031531), we get a palindrome (57663036675).

The spelling of 13513005144 in words is "thirteen billion, five hundred thirteen million, five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20853403 41706806 62560209 83413612 125120418 166827224 187680627 250240836 375361254 500481672 563041881 750722508 1126083762 1501445016 1689125643 2252167524 3378251286 4504335048 6756502572 13513005144