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10528254720 = 28335312317
BaseRepresentation
bin10011100111000100…
…00110101100000000
31000011201202202101000
421303202012230000
5133030213122340
64500413012000
7521620455114
oct116342065400
930151682330
1010528254720
114512a1a665
122059a84000
13cba286029
1471c391744
15419457d30
hex273886b00

10528254720 has 432 divisors, whose sum is σ = 38726523360. Its totient is φ = 2708398080.

The previous prime is 10528254707. The next prime is 10528254727. The reversal of 10528254720 is 2745282501.

It is a happy number.

10528254720 is a `hidden beast` number, since 10 + 5 + 2 + 82 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105282547202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10528254727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33212002 + ... + 33212318.

It is an arithmetic number, because the mean of its divisors is an integer number (89644730).

Almost surely, 210528254720 is an apocalyptic number.

10528254720 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 10528254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363261680).

10528254720 is an abundant number, since it is smaller than the sum of its proper divisors (28198268640).

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

10528254720 is an equidigital number, since it uses as much as digits as its factorization.

10528254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 10528254720 in words is "ten billion, five hundred twenty-eight million, two hundred fifty-four thousand, seven hundred twenty".