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13192320960 = 2634572131747
BaseRepresentation
bin11000100100101001…
…01101011111000000
31021001101200100020000
430102110231133000
5204004213232320
610021021120000
7644626610100
oct142224553700
937041610200
1013192320960
11565a7a2aa5
1226820b9000
13132319a9a0
148d210d200
15523290c90
hex31252d7c0

13192320960 has 1680 divisors, whose sum is σ = 63570697344. Its totient is φ = 2563964928.

The previous prime is 13192320941. The next prime is 13192320989. The reversal of 13192320960 is 6902329131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 280687657 + ... + 280687703.

Almost surely, 213192320960 is an apocalyptic number.

13192320960 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 13192320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785348672).

13192320960 is an abundant number, since it is smaller than the sum of its proper divisors (50378376384).

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

13192320960 is a wasteful number, since it uses less digits than its factorization.

13192320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13192320960 in words is "thirteen billion, one hundred ninety-two million, three hundred twenty thousand, nine hundred sixty".