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10570068432 = 24377113923
BaseRepresentation
bin10011101100000011…
…00111000111010000
31000021122110010000000
421312001213013100
5133121414142212
64504505130000
7522636046020
oct116601470720
930248403000
1010570068432
114534589950
12206ba89900
13cc5b36281
14723b57a80
1541ce671dc
hex2760671d0

10570068432 has 320 divisors, whose sum is σ = 38303262720. Its totient is φ = 2744772480.

The previous prime is 10570068401. The next prime is 10570068437. The reversal of 10570068432 is 23486007501.

10570068432 is a `hidden beast` number, since 1 + 0 + 570 + 0 + 6 + 84 + 3 + 2 = 666.

It is a super-2 number, since 2×105700684322 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10570068437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2692423 + ... + 2696345.

It is an arithmetic number, because the mean of its divisors is an integer number (119697696).

Almost surely, 210570068432 is an apocalyptic number.

10570068432 is a gapful number since it is divisible by the number (12) 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 10570068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151631360).

10570068432 is an abundant number, since it is smaller than the sum of its proper divisors (27733194288).

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

10570068432 is an equidigital number, since it uses as much as digits as its factorization.

10570068432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10570068432 in words is "ten billion, five hundred seventy million, sixty-eight thousand, four hundred thirty-two".