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19072475136 = 21335111367
BaseRepresentation
bin10001110000110011…
…101110000000000000
31211020012020010100000
4101300303232000000
5303030023201021
612432313200000
71243430235531
oct216063560000
954205203300
1019072475136
1180a7a07950
123843400000
131a4c494a60
14ccd042688
15769603b26
hex470cee000

19072475136 has 672 divisors, whose sum is σ = 68126018688. Its totient is φ = 5255331840.

The previous prime is 19072475057. The next prime is 19072475179. The reversal of 19072475136 is 63157427091.

19072475136 is a `hidden beast` number, since 1 + 90 + 7 + 2 + 47 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19072475091 and 19072475100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284663775 + ... + 284663841.

It is an arithmetic number, because the mean of its divisors is an integer number (101378004).

Almost surely, 219072475136 is an apocalyptic number.

19072475136 is a gapful number since it is divisible by the number (16) 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 19072475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34063009344).

19072475136 is an abundant number, since it is smaller than the sum of its proper divisors (49053543552).

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

19072475136 is an equidigital number, since it uses as much as digits as its factorization.

19072475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 19072475136 in words is "nineteen billion, seventy-two million, four hundred seventy-five thousand, one hundred thirty-six".