Search a number
-
+
13363268625 = 35537173697
BaseRepresentation
bin11000111001000001…
…10100110000010001
31021111022100101100000
430130200310300101
5204331444044000
610050005120213
7652103623560
oct143440646021
937438311300
1013363268625
115738242563
12270b3b9069
13134c722455
1490aacbbd7
155332ac000
hex31c834c11

13363268625 has 192 divisors, whose sum is σ = 30238161408. Its totient is φ = 5748019200.

The previous prime is 13363268623. The next prime is 13363268641. The reversal of 13363268625 is 52686236331.

13363268625 is a `hidden beast` number, since 1 + 3 + 3 + 632 + 6 + 8 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 13363268625 - 21 = 13363268623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13363268623) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3612777 + ... + 3616473.

It is an arithmetic number, because the mean of its divisors is an integer number (157490424).

Almost surely, 213363268625 is an apocalyptic number.

13363268625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13363268625 is an abundant number, since it is smaller than the sum of its proper divisors (16874892783).

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

13363268625 is an equidigital number, since it uses as much as digits as its factorization.

13363268625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3729 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13363268625 in words is "thirteen billion, three hundred sixty-three million, two hundred sixty-eight thousand, six hundred twenty-five".