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13522639520 = 25513591011091
BaseRepresentation
bin11001001100000001…
…10001101010100000
31021220102020021002202
430212000301222200
5210143243431040
610113501032332
7656050353005
oct144600615240
937812207082
1013522639520
11580a1a5245
1227548556a8
131376752760
14923d358ac
1554228d015
hex326031aa0

13522639520 has 192 divisors, whose sum is σ = 35366647680. Its totient is φ = 4855296000.

The previous prime is 13522639519. The next prime is 13522639531. The reversal of 13522639520 is 2593622531.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12394175 + ... + 12395265.

It is an arithmetic number, because the mean of its divisors is an integer number (184201290).

Almost surely, 213522639520 is an apocalyptic number.

13522639520 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 13522639520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683323840).

13522639520 is an abundant number, since it is smaller than the sum of its proper divisors (21844008160).

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

13522639520 is a wasteful number, since it uses less digits than its factorization.

13522639520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 13522639520 in words is "thirteen billion, five hundred twenty-two million, six hundred thirty-nine thousand, five hundred twenty".