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19799938080 = 25345131731223
BaseRepresentation
bin10010011100001010…
…110001010000100000
31220002220002001220000
4102130022301100200
5311022241004310
613032421220000
71300442460666
oct223412612040
956086061800
1019799938080
11844060459a
123a06b61600
131b370cb3c0
14d5b8c8c36
157ad3ed4c0
hex49c2b1420

19799938080 has 960 divisors, whose sum is σ = 82618195968. Its totient is φ = 4419256320.

The previous prime is 19799938069. The next prime is 19799938087. The reversal of 19799938080 is 8083999791.

19799938080 is a `hidden beast` number, since 1 + 97 + 9 + 99 + 380 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19799937999 and 19799938017.

It is not an unprimeable number, because it can be changed into a prime (19799938087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88788849 + ... + 88789071.

Almost surely, 219799938080 is an apocalyptic number.

19799938080 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 19799938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41309097984).

19799938080 is an abundant number, since it is smaller than the sum of its proper divisors (62818257888).

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

19799938080 is a wasteful number, since it uses less digits than its factorization.

19799938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 19799938080 in words is "nineteen billion, seven hundred ninety-nine million, nine hundred thirty-eight thousand, eighty".