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13325880288 = 2537891811231
BaseRepresentation
bin11000110100100100…
…01100101111100000
31021101200222212011210
430122102030233200
5204242411132123
610042151510120
7651141053640
oct143222145740
937350885153
1013325880288
115719126106
1226ba988340
131344a61586
14905b58520
1552ed73e93
hex31a48cbe0

13325880288 has 192 divisors, whose sum is σ = 40683202560. Its totient is φ = 3740774400.

The previous prime is 13325880283. The next prime is 13325880289. The reversal of 13325880288 is 88208852331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325880283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10824633 + ... + 10825863.

It is an arithmetic number, because the mean of its divisors is an integer number (211891680).

Almost surely, 213325880288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13325880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341601280).

13325880288 is an abundant number, since it is smaller than the sum of its proper divisors (27357322272).

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

13325880288 is a wasteful number, since it uses less digits than its factorization.

13325880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 13325880288 in words is "thirteen billion, three hundred twenty-five million, eight hundred eighty thousand, two hundred eighty-eight".