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13993206192 = 2434717412213
BaseRepresentation
bin11010000100000111…
…10110000110110000
31100010012200112020000
431002003312012300
5212124230044232
610232310550000
71003523201340
oct150203660660
940105615200
1013993206192
115a30888a19
122866368300
1314200a0784
1496a628d20
1556d74027c
hex3420f61b0

13993206192 has 400 divisors, whose sum is σ = 50226910272. Its totient is φ = 3669442560.

The previous prime is 13993206173. The next prime is 13993206193. The reversal of 13993206192 is 29160239931.

13993206192 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 3 + 20 + 619 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13993206193) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6322078 + ... + 6324290.

Almost surely, 213993206192 is an apocalyptic number.

13993206192 is a gapful number since it is divisible by the number (12) 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 13993206192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113455136).

13993206192 is an abundant number, since it is smaller than the sum of its proper divisors (36233704080).

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

13993206192 is a wasteful number, since it uses less digits than its factorization.

13993206192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 13993206192 in words is "thirteen billion, nine hundred ninety-three million, two hundred six thousand, one hundred ninety-two".