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13213523424 = 253137640869
BaseRepresentation
bin11000100111001011…
…00101110111100000
31021002212120112112110
430103211211313200
5204030130222144
610023055355320
7645305044623
oct142345456740
937085515473
1013213523424
1156707647a2
122689222b40
1313276b251a
148d4c6bdba
1552507d0b9
hex313965de0

13213523424 has 24 divisors (see below), whose sum is σ = 34685499240. Its totient is φ = 4404507776.

The previous prime is 13213523413. The next prime is 13213523429. The reversal of 13213523424 is 42432531231.

13213523424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 13213523391 and 13213523400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213523429) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68820339 + ... + 68820530.

It is an arithmetic number, because the mean of its divisors is an integer number (1445229135).

Almost surely, 213213523424 is an apocalyptic number.

It is an amenable number.

13213523424 is an abundant number, since it is smaller than the sum of its proper divisors (21471975816).

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

13213523424 is a wasteful number, since it uses less digits than its factorization.

13213523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137640882 (or 137640874 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The spelling of 13213523424 in words is "thirteen billion, two hundred thirteen million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137640869 275281738 412922607 550563476 825845214 1101126952 1651690428 2202253904 3303380856 4404507808 6606761712 13213523424