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10192147020 = 223251121727527
BaseRepresentation
bin10010111110111111…
…11101001001001100
3222022022022201021200
421133133331021030
5131333142201040
64403205025500
7510366551226
oct113737751114
928268281250
1010192147020
114360223a00
121b853b5290
13c65755233
146c989d416
153e9bb5630
hex25f7fd24c

10192147020 has 216 divisors, whose sum is σ = 35982509472. Its totient is φ = 2325396480.

The previous prime is 10192147013. The next prime is 10192147079. The reversal of 10192147020 is 2074129101.

10192147020 is a `hidden beast` number, since 1 + 0 + 192 + 1 + 470 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356497 + ... + 384023.

It is an arithmetic number, because the mean of its divisors is an integer number (166585692).

Almost surely, 210192147020 is an apocalyptic number.

10192147020 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 10192147020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17991254736).

10192147020 is an abundant number, since it is smaller than the sum of its proper divisors (25790362452).

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

10192147020 is a wasteful number, since it uses less digits than its factorization.

10192147020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27581 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10192147020 in words is "ten billion, one hundred ninety-two million, one hundred forty-seven thousand, twenty".