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10130527008 = 2533719233833
BaseRepresentation
bin10010110111101001…
…11001001100100000
3222011000101002112000
421123310321030200
5131221403331013
64353124204000
7506021026110
oct113364711440
928130332460
1010130527008
114329466978
121b68839600
13c55a5baa4
146c161d040
153e4592973
hex25bd39320

10130527008 has 384 divisors, whose sum is σ = 37100851200. Its totient is φ = 2622191616.

The previous prime is 10130526979. The next prime is 10130527021. The reversal of 10130527008 is 80072503101.

10130527008 is a `hidden beast` number, since 1 + 0 + 130 + 527 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2641060 + ... + 2644892.

It is an arithmetic number, because the mean of its divisors is an integer number (96616800).

Almost surely, 210130527008 is an apocalyptic number.

10130527008 is a gapful number since it is divisible by the number (18) 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 10130527008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550425600).

10130527008 is an abundant number, since it is smaller than the sum of its proper divisors (26970324192).

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

10130527008 is a wasteful number, since it uses less digits than its factorization.

10130527008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10130527008 in words is "ten billion, one hundred thirty million, five hundred twenty-seven thousand, eight".