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13159490520 = 2335113471753
BaseRepresentation
bin11000100000101110…
…11110001111011000
31020222002220101022210
430100113132033120
5203422312144040
610013445315120
7644050552401
oct142027361730
936862811283
1013159490520
11564320a000
122673105aa0
1313194445a7
148cba049a8
15520458480
hex3105de3d8

13159490520 has 256 divisors, whose sum is σ = 44372551680. Its totient is φ = 3120522240.

The previous prime is 13159490471. The next prime is 13159490563. The reversal of 13159490520 is 2509495131.

13159490520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7505964 + ... + 7507716.

It is an arithmetic number, because the mean of its divisors is an integer number (173330280).

Almost surely, 213159490520 is an apocalyptic number.

13159490520 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 13159490520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186275840).

13159490520 is an abundant number, since it is smaller than the sum of its proper divisors (31213061160).

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

13159490520 is a wasteful number, since it uses less digits than its factorization.

13159490520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 13159490520 in words is "thirteen billion, one hundred fifty-nine million, four hundred ninety thousand, five hundred twenty".