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13309392096 = 25337112131399
BaseRepresentation
bin11000110010100110…
…10011010011100000
31021100112222011122000
430121103103103200
5204224201021341
610040402244000
7650550652260
oct143123232340
937315864560
1013309392096
11570a894300
1226b5356600
13134150a750
149038a57a0
1552d6b88b6
hex3194d34e0

13309392096 has 576 divisors, whose sum is σ = 52553088000. Its totient is φ = 3188782080.

The previous prime is 13309392091. The next prime is 13309392163. The reversal of 13309392096 is 69029390331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13309392091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9512805 + ... + 9514203.

It is an arithmetic number, because the mean of its divisors is an integer number (91238000).

Almost surely, 213309392096 is an apocalyptic number.

13309392096 is a gapful number since it is divisible by the number (16) 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 13309392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276544000).

13309392096 is an abundant number, since it is smaller than the sum of its proper divisors (39243695904).

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

13309392096 is a wasteful number, since it uses less digits than its factorization.

13309392096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 13309392096 in words is "thirteen billion, three hundred nine million, three hundred ninety-two thousand, ninety-six".