Search a number
-
+
13382139618 = 2326112187741
BaseRepresentation
bin11000111011010001…
…10011111011100010
31021112121212010110200
430131220303323202
5204401311431433
610051521410030
7652423211211
oct143550637342
937477763420
1013382139618
115747961621
122715799916
1313535cba13
1490d401078
15534c88613
hex31da33ee2

13382139618 has 24 divisors (see below), whose sum is σ = 29469960156. Its totient is φ = 4387586400.

The previous prime is 13382139599. The next prime is 13382139629. The reversal of 13382139618 is 81693128331.

13382139618 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 21 + 3 + 9 + 618 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12315006729 + 1067132889 = 110973^2 + 32667^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6092773 + ... + 6094968.

Almost surely, 213382139618 is an apocalyptic number.

13382139618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13382139618 is an abundant number, since it is smaller than the sum of its proper divisors (16087820538).

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

13382139618 is a wasteful number, since it uses less digits than its factorization.

13382139618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187810 (or 12187807 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13382139618 in words is "thirteen billion, three hundred eighty-two million, one hundred thirty-nine thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 12187741 24375482 36563223 73126446 109689669 219379338 743452201 1486904402 2230356603 4460713206 6691069809 13382139618