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13243337640 = 23325133191283
BaseRepresentation
bin11000101010101110…
…10100101110101000
31021011221200020221200
430111113110232220
5204110243301030
610030042404200
7646116340551
oct142527245650
937157606850
1013243337640
115686578645
122697200660
131330920a80
148d8bcd328
155279bbd60
hex3155d4ba8

13243337640 has 192 divisors, whose sum is σ = 47847421440. Its totient is φ = 3154705920.

The previous prime is 13243337629. The next prime is 13243337659. The reversal of 13243337640 is 4673334231.

13243337640 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 3 + 3 + 3 + 7 + 640 = 666.

13243337640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13243337595 and 13243337604.

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 47 ways as a sum of consecutive naturals, for example, 99439 + ... + 190721.

It is an arithmetic number, because the mean of its divisors is an integer number (249205320).

Almost surely, 213243337640 is an apocalyptic number.

13243337640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243337640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923710720).

13243337640 is an abundant number, since it is smaller than the sum of its proper divisors (34604083800).

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

13243337640 is a wasteful number, since it uses less digits than its factorization.

13243337640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91344 (or 91337 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 13243337640 in words is "thirteen billion, two hundred forty-three million, three hundred thirty-seven thousand, six hundred forty".