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13930479198 = 233257971837
BaseRepresentation
bin11001111100101001…
…00011111001011110
31022221211122122222000
430332110203321132
5212012200313243
610222150303130
71002132055656
oct147624437136
938854578860
1013930479198
1159a9435229
122849357aa6
1314100aa4cc
1496217b366
15567e9e5d3
hex33e523e5e

13930479198 has 16 divisors (see below), whose sum is σ = 30956620560. Its totient is φ = 4643493048.

The previous prime is 13930479197. The next prime is 13930479221. The reversal of 13930479198 is 89197403931.

It is a happy number.

13930479198 is a `hidden beast` number, since 139 + 30 + 479 + 1 + 9 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 257971837 = 13930479198 / (1 + 3 + 9 + 3 + 0 + 4 + 7 + 9 + 1 + 9 + 8).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13930479197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128985865 + ... + 128985972.

It is an arithmetic number, because the mean of its divisors is an integer number (1934788785).

Almost surely, 213930479198 is an apocalyptic number.

13930479198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13930479198 is an abundant number, since it is smaller than the sum of its proper divisors (17026141362).

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

13930479198 is a wasteful number, since it uses less digits than its factorization.

13930479198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257971848 (or 257971842 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 13930479198 in words is "thirteen billion, nine hundred thirty million, four hundred seventy-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 257971837 515943674 773915511 1547831022 2321746533 4643493066 6965239599 13930479198