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13522641132 = 223721113289139
BaseRepresentation
bin11001001100000001…
…10010000011101100
31021220102020100022110
430212000302003230
5210143244004012
610113501044020
7656050360500
oct144600620354
937812210273
1013522641132
11580a1a6480
122754856610
131376753400
14923d36300
1554228d73c
hex3260320ec

13522641132 has 432 divisors, whose sum is σ = 44160681600. Its totient is φ = 3182699520.

The previous prime is 13522641127. The next prime is 13522641157. The reversal of 13522641132 is 23114622531.

It is a self number, because there is not a number n which added to its sum of digits gives 13522641132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97285119 + ... + 97285257.

It is an arithmetic number, because the mean of its divisors is an integer number (102223800).

Almost surely, 213522641132 is an apocalyptic number.

13522641132 is a gapful number since it is divisible by the number (12) 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 13522641132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080340800).

13522641132 is an abundant number, since it is smaller than the sum of its proper divisors (30638040468).

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

13522641132 is a wasteful number, since it uses less digits than its factorization.

13522641132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The spelling of 13522641132 in words is "thirteen billion, five hundred twenty-two million, six hundred forty-one thousand, one hundred thirty-two".