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13352744520 = 23325178397271
BaseRepresentation
bin11000110111110001…
…01011011001001000
31021110120112200222100
430123320223121020
5204321300311040
610044551353400
7651615312213
oct143370533110
937416480870
1013352744520
115732304655
122707982860
13134a4a917b
1490954c77a
155323cdb30
hex31be2b648

13352744520 has 384 divisors, whose sum is σ = 47155530240. Its totient is φ = 3264675840.

The previous prime is 13352744479. The next prime is 13352744533. The reversal of 13352744520 is 2544725331.

13352744520 is a `hidden beast` number, since 1 + 335 + 274 + 4 + 52 + 0 = 666.

13352744520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49271985 + ... + 49272255.

It is an arithmetic number, because the mean of its divisors is an integer number (122800860).

Almost surely, 213352744520 is an apocalyptic number.

13352744520 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 13352744520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

13352744520 is an abundant number, since it is smaller than the sum of its proper divisors (33802785720).

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

13352744520 is a wasteful number, since it uses less digits than its factorization.

13352744520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 13352744520 in words is "thirteen billion, three hundred fifty-two million, seven hundred forty-four thousand, five hundred twenty".