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12435675744 = 253129538289
BaseRepresentation
bin10111001010011100…
…10101101001100000
31012002122220210010010
423211032111221200
5200432013110434
65413551404520
7620111333262
oct134516255140
935078823103
1012435675744
115301684278
1224b0823740
1312324b761b
1485d82bb32
154cbb2e9e9
hex2e5395a60

12435675744 has 24 divisors (see below), whose sum is σ = 32643649080. Its totient is φ = 4145225216.

The previous prime is 12435675713. The next prime is 12435675751. The reversal of 12435675744 is 44757653421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12435675693 and 12435675702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64769049 + ... + 64769240.

It is an arithmetic number, because the mean of its divisors is an integer number (1360152045).

Almost surely, 212435675744 is an apocalyptic number.

It is an amenable number.

12435675744 is an abundant number, since it is smaller than the sum of its proper divisors (20207973336).

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

12435675744 is a wasteful number, since it uses less digits than its factorization.

12435675744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129538302 (or 129538294 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 12435675744 in words is "twelve billion, four hundred thirty-five million, six hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129538289 259076578 388614867 518153156 777229734 1036306312 1554459468 2072612624 3108918936 4145225248 6217837872 12435675744