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10807024896 = 2832191731427
BaseRepresentation
bin10100001000010011…
…00001110100000000
31000220011022202011100
422010021201310000
5134113044244041
64544212014400
7531544124133
oct120411416400
930804282140
1010807024896
114646313838
122117301400
131032c5c9b5
147473da21a
15433b716b6
hex284261d00

10807024896 has 216 divisors, whose sum is σ = 33011989920. Its totient is φ = 3390640128.

The previous prime is 10807024859. The next prime is 10807024897. The reversal of 10807024896 is 69842070801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10807024897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7572535 + ... + 7573961.

Almost surely, 210807024896 is an apocalyptic number.

10807024896 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 10807024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505994960).

10807024896 is an abundant number, since it is smaller than the sum of its proper divisors (22204965024).

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

10807024896 is a wasteful number, since it uses less digits than its factorization.

10807024896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10807024896 in words is "ten billion, eight hundred seven million, twenty-four thousand, eight hundred ninety-six".