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13194491520 = 273571724379
BaseRepresentation
bin11000100100111001…
…11111011010000000
31021001112202121200010
430102130333122000
5204010242212040
610021135424520
7644654220210
oct142234773200
937045677603
1013194491520
115660a45851
122682985140
13132377a942
148d2516240
1552356de80
hex31273f680

13194491520 has 768 divisors, whose sum is σ = 52908134400. Its totient is φ = 2737373184.

The previous prime is 13194491473. The next prime is 13194491521. The reversal of 13194491520 is 2519449131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194491521) 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, 167018841 + ... + 167018919.

It is an arithmetic number, because the mean of its divisors is an integer number (68890800).

Almost surely, 213194491520 is an apocalyptic number.

13194491520 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 13194491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26454067200).

13194491520 is an abundant number, since it is smaller than the sum of its proper divisors (39713642880).

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

13194491520 is a wasteful number, since it uses less digits than its factorization.

13194491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 13194491520 in words is "thirteen billion, one hundred ninety-four million, four hundred ninety-one thousand, five hundred twenty".