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12922968096 = 25343747261
BaseRepresentation
bin11000000100100010…
…01101100000100000
31020100121211210120000
430002101031200200
5202431234434341
65534200020000
7635146262553
oct140221154040
936317753500
1012922968096
115531751225
122607a61600
1312ac4405ac
148a843669a
155097d78b6
hex30244d820

12922968096 has 360 divisors, whose sum is σ = 40535241516. Its totient is φ = 4034810880.

The previous prime is 12922968089. The next prime is 12922968127. The reversal of 12922968096 is 69086922921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12851396496 + 71571600 = 113364^2 + 8460^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 211851906 + ... + 211851966.

Almost surely, 212922968096 is an apocalyptic number.

12922968096 is a gapful number since it is divisible by the number (16) 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 12922968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267620758).

12922968096 is an abundant number, since it is smaller than the sum of its proper divisors (27612273420).

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

12922968096 is an equidigital number, since it uses as much as digits as its factorization.

12922968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12922968096 in words is "twelve billion, nine hundred twenty-two million, nine hundred sixty-eight thousand, ninety-six".