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13361972836 = 2229219932
BaseRepresentation
bin11000111000110111…
…11000011001100100
31021111012220112211211
430130123320121210
5204331131112321
610045521241204
7652056616012
oct143433703144
937435815754
1013361972836
115737537a63
12270aa93204
13134c38a704
1490a8718b2
155331030e1
hex31c6f8664

13361972836 has 27 divisors (see below), whose sum is σ = 24229740171. Its totient is φ = 6447370944.

The previous prime is 13361972821. The next prime is 13361972849. The reversal of 13361972836 is 63827916331.

The square root of 13361972836 is 115594.

It is a perfect power (a square), and thus also a powerful number.

13361972836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 919908900 + 12442063936 = 30330^2 + 111544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13361972836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6703456 + ... + 6705448.

Almost surely, 213361972836 is an apocalyptic number.

13361972836 is the 115594-th square number.

It is an amenable number.

13361972836 is a deficient number, since it is larger than the sum of its proper divisors (10867767335).

13361972836 is an frugal number, since it uses more digits than its factorization.

13361972836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 2024 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

Multiplying 13361972836 by its sum of digits (49), we get a square (654736668964 = 8091582).

The spelling of 13361972836 in words is "thirteen billion, three hundred sixty-one million, nine hundred seventy-two thousand, eight hundred thirty-six".

Divisors: 1 2 4 29 58 116 841 1682 1993 3364 3986 7972 57797 115594 231188 1676113 3352226 3972049 6704452 7944098 15888196 115189421 230378842 460757684 3340493209 6680986418 13361972836