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19379134656 = 2634722331107
BaseRepresentation
bin10010000011000101…
…100010000011000000
31212000120021001010000
4102003011202003000
5304142024302111
612522550040000
71254142632600
oct220305420300
955016231100
1019379134656
11824501a772
12390a049000
131a9ab84aab
14d1ba6ac00
157864cac56
hex4831620c0

19379134656 has 840 divisors, whose sum is σ = 72652225536. Its totient is φ = 5077416960.

The previous prime is 19379134637. The next prime is 19379134657. The reversal of 19379134656 is 65643197391.

19379134656 is a `hidden beast` number, since 1 + 93 + 7 + 91 + 3 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19379134657) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181113355 + ... + 181113461.

Almost surely, 219379134656 is an apocalyptic number.

19379134656 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 19379134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36326112768).

19379134656 is an abundant number, since it is smaller than the sum of its proper divisors (53273090880).

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

19379134656 is a wasteful number, since it uses less digits than its factorization.

19379134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 19379134656 in words is "nineteen billion, three hundred seventy-nine million, one hundred thirty-four thousand, six hundred fifty-six".