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10452798720 = 28325713359
BaseRepresentation
bin10011011110000100…
…10000110100000000
3222222110210012012100
421233002100310000
5132401404024340
64445115430400
7520013215560
oct115702206400
928873705170
1010452798720
114484372431
122038755400
13ca7757000
1471234cda0
15412a00830
hex26f090d00

10452798720 has 864 divisors, whose sum is σ = 45533779200. Its totient is φ = 2168045568.

The previous prime is 10452798691. The next prime is 10452798739. The reversal of 10452798720 is 2789725401.

It is a happy number.

10452798720 is a `hidden beast` number, since 10 + 4 + 527 + 98 + 7 + 20 = 666.

It is a super-2 number, since 2×104527987202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177166051 + ... + 177166109.

Almost surely, 210452798720 is an apocalyptic number.

10452798720 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 10452798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766889600).

10452798720 is an abundant number, since it is smaller than the sum of its proper divisors (35080980480).

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

10452798720 is an equidigital number, since it uses as much as digits as its factorization.

10452798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10452798720 in words is "ten billion, four hundred fifty-two million, seven hundred ninety-eight thousand, seven hundred twenty".