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13268330088 = 23313314361523
BaseRepresentation
bin11000101101101101…
…01010011001101000
31021020200201000010220
430112312222121220
5204133143030323
610032334210040
7646541642046
oct142666523150
937220630126
1013268330088
115699698862
1226a3653920
131335b616c0
148dc257396
15529ca70e3
hex316daa668

13268330088 has 256 divisors, whose sum is σ = 38424207360. Its totient is φ = 3788467200.

The previous prime is 13268330083. The next prime is 13268330099. The reversal of 13268330088 is 88003386231.

13268330088 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 (13268330083) 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 63 ways as a sum of consecutive naturals, for example, 25369395 + ... + 25369917.

It is an arithmetic number, because the mean of its divisors is an integer number (150094560).

Almost surely, 213268330088 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 13268330088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19212103680).

13268330088 is an abundant number, since it is smaller than the sum of its proper divisors (25155877272).

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

13268330088 is a wasteful number, since it uses less digits than its factorization.

13268330088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13268330088 in words is "thirteen billion, two hundred sixty-eight million, three hundred thirty thousand, eighty-eight".