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12926257344 = 2634711134753
BaseRepresentation
bin11000000100111011…
…10000100011000000
31020100212000220120000
430002131300203000
5202433110213334
65534354320000
7635216242320
oct140235604300
936325026500
1012926257344
115533598510
122608b89000
1312b00227b0
148a8a51280
15509c37299
hex3027708c0

12926257344 has 1120 divisors, whose sum is σ = 53533218816. Its totient is φ = 2976030720.

The previous prime is 12926257321. The next prime is 12926257349. The reversal of 12926257344 is 44375262921.

12926257344 is a `hidden beast` number, since 12 + 9 + 2 + 62 + 573 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12926257344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12926257349) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243891622 + ... + 243891674.

Almost surely, 212926257344 is an apocalyptic number.

12926257344 is a gapful number since it is divisible by the number (14) 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 12926257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26766609408).

12926257344 is an abundant number, since it is smaller than the sum of its proper divisors (40606961472).

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

12926257344 is a wasteful number, since it uses less digits than its factorization.

12926257344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12926257344 in words is "twelve billion, nine hundred twenty-six million, two hundred fifty-seven thousand, three hundred forty-four".