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12445899840 = 263251119232931
BaseRepresentation
bin10111001011101010…
…10101110001000000
31012010101011012221100
423211311111301000
5200442122243330
65414554454400
7620264255163
oct134565256100
935111135840
1012445899840
115307427840
1224b4134400
13123465719a
14860d2dada
154cc99e060
hex2e5d55c40

12445899840 has 1344 divisors, whose sum is σ = 54776217600. Its totient is φ = 2554675200.

The previous prime is 12445899799. The next prime is 12445899841. The reversal of 12445899840 is 4899854421.

It is a happy number.

12445899840 is a `hidden beast` number, since 1 + 24 + 458 + 99 + 84 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12445899841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401480625 + ... + 401480655.

Almost surely, 212445899840 is an apocalyptic number.

12445899840 is a gapful number since it is divisible by the number (10) 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 12445899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388108800).

12445899840 is an abundant number, since it is smaller than the sum of its proper divisors (42330317760).

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

12445899840 is a wasteful number, since it uses less digits than its factorization.

12445899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12445899840 in words is "twelve billion, four hundred forty-five million, eight hundred ninety-nine thousand, eight hundred forty".