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13115450880 = 29335727107
BaseRepresentation
bin11000011011011110…
…11110011000000000
31020212001000221022000
430031233132120000
5203330023412010
610005233344000
7643004331060
oct141557363000
936761027260
1013115450880
11562036a404
122660408000
13131029512c
148c5c1d3a0
1551b6597c0
hex30dbde600

13115450880 has 320 divisors, whose sum is σ = 53244449280. Its totient is φ = 2997706752.

The previous prime is 13115450869. The next prime is 13115450897. The reversal of 13115450880 is 8805451131.

13115450880 is a `hidden beast` number, since 1 + 31 + 1 + 545 + 0 + 8 + 80 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 470287 + ... + 497393.

It is an arithmetic number, because the mean of its divisors is an integer number (166388904).

Almost surely, 213115450880 is an apocalyptic number.

13115450880 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 13115450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622224640).

13115450880 is an abundant number, since it is smaller than the sum of its proper divisors (40128998400).

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

13115450880 is an equidigital number, since it uses as much as digits as its factorization.

13115450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27146 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 13115450880 in words is "thirteen billion, one hundred fifteen million, four hundred fifty thousand, eight hundred eighty".