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13460406048 = 253246737521
BaseRepresentation
bin11001000100100110…
…10111111100100000
31021202002010110211100
430202103113330200
5210031330443143
610103355114400
7654363364215
oct144223277440
937662113740
1013460406048
115788059321
122737a42a00
1313668a300b
14919975b0c
1553ba986d3
hex3224d7f20

13460406048 has 36 divisors (see below), whose sum is σ = 38278030518. Its totient is φ = 4486801920.

The previous prime is 13460406031. The next prime is 13460406059. The reversal of 13460406048 is 84060406431.

13460406048 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 0 + 40 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11052737424 + 2407668624 = 105132^2 + 49068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23368473 + ... + 23369048.

Almost surely, 213460406048 is an apocalyptic number.

13460406048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13460406048 is an abundant number, since it is smaller than the sum of its proper divisors (24817624470).

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

13460406048 is a wasteful number, since it uses less digits than its factorization.

13460406048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46737537 (or 46737526 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13460406048 in words is "thirteen billion, four hundred sixty million, four hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46737521 93475042 140212563 186950084 280425126 373900168 420637689 560850252 747800336 841275378 1121700504 1495600672 1682550756 2243401008 3365101512 4486802016 6730203024 13460406048