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13480064388 = 223771723563
BaseRepresentation
bin11001000110111100…
…10111010110000100
31021210110010020000000
430203132113112010
5210101344030023
610105340321300
7655022441160
oct144336272604
937713106000
1013480064388
11579816598a
122742543230
13136a996a7b
1491c411ca0
1553d67d243
hex323797584

13480064388 has 384 divisors, whose sum is σ = 44753264640. Its totient is φ = 3461128704.

The previous prime is 13480064363. The next prime is 13480064393. The reversal of 13480064388 is 88346008431.

13480064388 is a `hidden beast` number, since 134 + 80 + 0 + 6 + 438 + 8 = 666.

13480064388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 23942995 + ... + 23943557.

It is an arithmetic number, because the mean of its divisors is an integer number (116544960).

Almost surely, 213480064388 is an apocalyptic number.

13480064388 is a gapful number since it is divisible by the number (18) 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 13480064388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376632320).

13480064388 is an abundant number, since it is smaller than the sum of its proper divisors (31273200252).

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

13480064388 is a wasteful number, since it uses less digits than its factorization.

13480064388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13480064388 in words is "thirteen billion, four hundred eighty million, sixty-four thousand, three hundred eighty-eight".