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12874812912 = 24321317596857
BaseRepresentation
bin10111111110110011…
…00000110111110000
31020020021020021001200
423333121200313300
5202331423003122
65525315531200
7634023050463
oct137731406760
936207207050
1012874812912
115507550555
1225b38b9b00
1312a247cac0
148a1c9d2da
155054745ac
hex2ff660df0

12874812912 has 240 divisors, whose sum is σ = 41788262880. Its totient is φ = 3664723968.

The previous prime is 12874812887. The next prime is 12874812931. The reversal of 12874812912 is 21921847821.

12874812912 is a `hidden beast` number, since 1 + 2 + 87 + 481 + 2 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1874188 + ... + 1881044.

It is an arithmetic number, because the mean of its divisors is an integer number (174117762).

Almost surely, 212874812912 is an apocalyptic number.

12874812912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894131440).

12874812912 is an abundant number, since it is smaller than the sum of its proper divisors (28913449968).

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

12874812912 is a wasteful number, since it uses less digits than its factorization.

12874812912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6951 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 12874812912 in words is "twelve billion, eight hundred seventy-four million, eight hundred twelve thousand, nine hundred twelve".