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13239835056 = 24327195911717
BaseRepresentation
bin11000101010010011…
…11101100110110000
31021011201002022022100
430111021331212300
5204103344210211
610025435340400
7646044512130
oct142511754660
937151068270
1013239835056
1156845a6048
122695bb1700
13132cc95736
148d855aac0
15527529156
hex31527d9b0

13239835056 has 240 divisors, whose sum is σ = 45334598400. Its totient is φ = 3522673152.

The previous prime is 13239835051. The next prime is 13239835057. The reversal of 13239835056 is 65053893231.

It is a happy number.

13239835056 is a `hidden beast` number, since 1 + 32 + 39 + 83 + 505 + 6 = 666.

13239835056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13239835051) 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 47 ways as a sum of consecutive naturals, for example, 1124110 + ... + 1135826.

It is an arithmetic number, because the mean of its divisors is an integer number (188894160).

Almost surely, 213239835056 is an apocalyptic number.

13239835056 is a gapful number since it is divisible by the number (16) 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 13239835056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667299200).

13239835056 is an abundant number, since it is smaller than the sum of its proper divisors (32094763344).

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

13239835056 is a wasteful number, since it uses less digits than its factorization.

13239835056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 13239835056 in words is "thirteen billion, two hundred thirty-nine million, eight hundred thirty-five thousand, fifty-six".