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13369259520 = 293351271523
BaseRepresentation
bin11000111001101111…
…01011011000000000
31021111201121202022000
430130313223120000
5204340012301040
610050341344000
7652205555001
oct143467533000
937451552260
1013369259520
115740664611
122711408000
131350a3c266
1490b80b1a8
15533a92130
hex31cdeb600

13369259520 has 320 divisors, whose sum is σ = 47894077440. Its totient is φ = 3534741504.

The previous prime is 13369259447. The next prime is 13369259537. The reversal of 13369259520 is 2595296331.

13369259520 is a `hidden beast` number, since 1 + 3 + 36 + 9 + 2 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×133692595202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8777479 + ... + 8779001.

It is an arithmetic number, because the mean of its divisors is an integer number (149668992).

Almost surely, 213369259520 is an apocalyptic number.

13369259520 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 13369259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23947038720).

13369259520 is an abundant number, since it is smaller than the sum of its proper divisors (34524817920).

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

13369259520 is a wasteful number, since it uses less digits than its factorization.

13369259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 13369259520 in words is "thirteen billion, three hundred sixty-nine million, two hundred fifty-nine thousand, five hundred twenty".