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13290363360 = 2534517179337
BaseRepresentation
bin11000110000010101…
…01101100111100000
31021022020011102010000
430120022231213200
5204204313111420
610034442340000
7650230140021
oct143012554740
937266142100
1013290363360
11570007777a
1226aaaba600
13133a5a7441
14901150c48
1552bbaa690
hex3182ad9e0

13290363360 has 480 divisors, whose sum is σ = 50088598560. Its totient is φ = 3307143168.

The previous prime is 13290363337. The next prime is 13290363391. The reversal of 13290363360 is 6336309231.

13290363360 is a `hidden beast` number, since 1 + 3 + 290 + 3 + 6 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 39437112 + ... + 39437448.

It is an arithmetic number, because the mean of its divisors is an integer number (104351247).

Almost surely, 213290363360 is an apocalyptic number.

13290363360 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 13290363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25044299280).

13290363360 is an abundant number, since it is smaller than the sum of its proper divisors (36798235200).

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

13290363360 is a wasteful number, since it uses less digits than its factorization.

13290363360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 13290363360 in words is "thirteen billion, two hundred ninety million, three hundred sixty-three thousand, three hundred sixty".