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12960440928 = 253245001531
BaseRepresentation
bin11000001001000000…
…01010001001100000
31020110020100121121200
430010200022021200
5203020333102203
65542015121200
7636112634031
oct140440121140
936406317550
1012960440928
115550916106
122618513200
1312b7130a76
148ad3cca88
1550cc3a9a3
hex30480a260

12960440928 has 36 divisors (see below), whose sum is σ = 36856254708. Its totient is φ = 4320146880.

The previous prime is 12960440923. The next prime is 12960440957. The reversal of 12960440928 is 82904406921.

12960440928 is a `hidden beast` number, since 12 + 9 + 604 + 4 + 0 + 9 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960440923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22500478 + ... + 22501053.

It is an arithmetic number, because the mean of its divisors is an integer number (1023784853).

Almost surely, 212960440928 is an apocalyptic number.

12960440928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12960440928 is an abundant number, since it is smaller than the sum of its proper divisors (23895813780).

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

12960440928 is a wasteful number, since it uses less digits than its factorization.

12960440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45001547 (or 45001536 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12960440928 in words is "twelve billion, nine hundred sixty million, four hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45001531 90003062 135004593 180006124 270009186 360012248 405013779 540018372 720024496 810027558 1080036744 1440048992 1620055116 2160073488 3240110232 4320146976 6480220464 12960440928