Search a number
-
+
13399242768 = 243293050297
BaseRepresentation
bin11000111101010100…
…00011100000010000
31021120211001001120200
430132222003200100
5204420201232033
610053332135200
7653021453502
oct143652034020
937524031520
1013399242768
11575658345a
12271b467500
131357009722
149117b3d72
15536516013
hex31ea83810

13399242768 has 30 divisors (see below), whose sum is σ = 37499270094. Its totient is φ = 4466414208.

The previous prime is 13399242739. The next prime is 13399242781. The reversal of 13399242768 is 86724299331.

13399242768 is a `hidden beast` number, since 1 + 3 + 399 + 242 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13301470224 + 97772544 = 115332^2 + 9888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46525005 + ... + 46525292.

Almost surely, 213399242768 is an apocalyptic number.

13399242768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13399242768 is an abundant number, since it is smaller than the sum of its proper divisors (24100027326).

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

13399242768 is a wasteful number, since it uses less digits than its factorization.

13399242768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93050311 (or 93050302 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 13399242768 in words is "thirteen billion, three hundred ninety-nine million, two hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 93050297 186100594 279150891 372201188 558301782 744402376 837452673 1116603564 1488804752 1674905346 2233207128 3349810692 4466414256 6699621384 13399242768