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13393326852 = 22321721884521
BaseRepresentation
bin11000111100100110…
…11111001100000100
31021120101220111110200
430132103133030010
5204412142424402
610053001250500
7652620254103
oct143623371404
937511814420
1013393326852
115753202774
122719493a30
131355a17a99
14910ab403a
15535c4821c
hex31e4df304

13393326852 has 36 divisors (see below), whose sum is σ = 35846847036. Its totient is φ = 4201827840.

The previous prime is 13393326799. The next prime is 13393326871. The reversal of 13393326852 is 25862339331.

13393326852 is a `hidden beast` number, since 1 + 339 + 3 + 3 + 268 + 52 = 666.

13393326852 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 2 ways, for example, as 11962671876 + 1430654976 = 109374^2 + 37824^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13393326798 and 13393326807.

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 11 ways as a sum of consecutive naturals, for example, 10941649 + ... + 10942872.

It is an arithmetic number, because the mean of its divisors is an integer number (995745751).

Almost surely, 213393326852 is an apocalyptic number.

13393326852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13393326852 is an abundant number, since it is smaller than the sum of its proper divisors (22453520184).

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

13393326852 is a wasteful number, since it uses less digits than its factorization.

13393326852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884548 (or 21884543 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 13393326852 in words is "thirteen billion, three hundred ninety-three million, three hundred twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21884521 43769042 65653563 87538084 131307126 196960689 262614252 372036857 393921378 744073714 787842756 1116110571 1488147428 2232221142 3348331713 4464442284 6696663426 13393326852