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10196112960 = 2632511321847
BaseRepresentation
bin10010111111011110…
…00101011001000000
3222022120210012112100
421133233011121000
5131340201103320
64403430030400
7510445346565
oct113757053100
928276705470
1010196112960
114362492640
121b867a8400
13c66513447
146ca21286c
153ea1ea790
hex25fbc5640

10196112960 has 168 divisors, whose sum is σ = 38258715456. Its totient is φ = 2471777280.

The previous prime is 10196112947. The next prime is 10196112961. The reversal of 10196112960 is 6921169101.

10196112960 is a `hidden beast` number, since 1 + 0 + 19 + 611 + 29 + 6 + 0 = 666.

10196112960 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 not an unprimeable number, because it can be changed into a prime (10196112961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129244 + ... + 192603.

Almost surely, 210196112960 is an apocalyptic number.

10196112960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10196112960 is an abundant number, since it is smaller than the sum of its proper divisors (28062602496).

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

10196112960 is a wasteful number, since it uses less digits than its factorization.

10196112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321881 (or 321868 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

It can be divided in two parts, 101961 and 12960, that added together give a square (114921 = 3392).

The spelling of 10196112960 in words is "ten billion, one hundred ninety-six million, one hundred twelve thousand, nine hundred sixty".