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13118465808 = 2437731093
BaseRepresentation
bin11000011011110101…
…11110011100010000
31020212020201010000000
430031322332130100
5203331311401213
610005422130000
7643042056000
oct141572763420
936766633000
1013118465808
115622039588
122661420900
131310aac506
148c63a6000
1551ba52c73
hex30debe710

13118465808 has 320 divisors, whose sum is σ = 44495168000. Its totient is φ = 3744703872.

The previous prime is 13118465783. The next prime is 13118465923. The reversal of 13118465808 is 80856481131.

13118465808 is a `hidden beast` number, since 13 + 1 + 18 + 46 + 580 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12001710 + ... + 12002802.

It is an arithmetic number, because the mean of its divisors is an integer number (139047400).

Almost surely, 213118465808 is an apocalyptic number.

13118465808 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 13118465808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247584000).

13118465808 is an abundant number, since it is smaller than the sum of its proper divisors (31376702192).

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

13118465808 is an frugal number, since it uses more digits than its factorization.

13118465808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 13118465808 in words is "thirteen billion, one hundred eighteen million, four hundred sixty-five thousand, eight hundred eight".