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13608915320 = 235711132831201
BaseRepresentation
bin11001010110010011…
…11001000101111000
31022010102120112020202
430223021321011320
5210332340242240
610130222141332
7661145604650
oct145311710570
938112515222
1013608915320
115853972560
122779721848
13138b59c520
14931593360
15549b31315
hex32b279178

13608915320 has 256 divisors, whose sum is σ = 41291873280. Its totient is φ = 3898368000.

The previous prime is 13608915301. The next prime is 13608915371. The reversal of 13608915320 is 2351980631.

It is a happy number.

13608915320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11330720 + ... + 11331920.

It is an arithmetic number, because the mean of its divisors is an integer number (161296380).

Almost surely, 213608915320 is an apocalyptic number.

13608915320 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 13608915320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20645936640).

13608915320 is an abundant number, since it is smaller than the sum of its proper divisors (27682957960).

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

13608915320 is a wasteful number, since it uses less digits than its factorization.

13608915320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 13608915320 in words is "thirteen billion, six hundred eight million, nine hundred fifteen thousand, three hundred twenty".