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10625695080 = 233572111312637
BaseRepresentation
bin10011110010101011…
…10011110101101000
31000102112010020102020
421321111303311220
5133230134220310
64514213304440
7524212626600
oct117125636550
930375106366
1010625695080
114562a22a90
122086635120
131004511750
1472b2b7c00
15422ca4170
hex279573d68

10625695080 has 384 divisors, whose sum is σ = 43567735680. Its totient is φ = 2037934080.

The previous prime is 10625695063. The next prime is 10625695117. The reversal of 10625695080 is 8059652601.

It is a super-2 number, since 2×106256950802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 834522 + ... + 847158.

It is an arithmetic number, because the mean of its divisors is an integer number (113457645).

Almost surely, 210625695080 is an apocalyptic number.

10625695080 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 10625695080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21783867840).

10625695080 is an abundant number, since it is smaller than the sum of its proper divisors (32942040600).

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

10625695080 is a wasteful number, since it uses less digits than its factorization.

10625695080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12689 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10625695080 in words is "ten billion, six hundred twenty-five million, six hundred ninety-five thousand, eighty".