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10163495160 = 233257131991559
BaseRepresentation
bin10010111011100101…
…01010000011111000
3222020022102001022200
421131302222003320
5131303323321120
64400302550200
7506601166140
oct113562520370
928208361280
1010163495160
114346034385
121b77898360
13c5c832a80
146c5b61920
153e7405e90
hex25dcaa0f8

10163495160 has 384 divisors, whose sum is σ = 40884480000. Its totient is φ = 2132241408.

The previous prime is 10163495159. The next prime is 10163495189. The reversal of 10163495160 is 6159436101.

10163495160 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 495 + 160 = 666.

10163495160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6518461 + ... + 6520019.

It is an arithmetic number, because the mean of its divisors is an integer number (106470000).

Almost surely, 210163495160 is an apocalyptic number.

10163495160 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 10163495160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240000).

10163495160 is an abundant number, since it is smaller than the sum of its proper divisors (30720984840).

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

10163495160 is a wasteful number, since it uses less digits than its factorization.

10163495160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10163495160 in words is "ten billion, one hundred sixty-three million, four hundred ninety-five thousand, one hundred sixty".