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13086140760 = 23335711374253
BaseRepresentation
bin11000010111111111…
…01010100101011000
31020202222212211101000
430023333222211120
5203300023001020
610002305225000
7642200234610
oct141377524530
936688784330
1013086140760
115605870270
122652632160
1313071a2174
148c1d8da40
15518cba090
hex30bfea958

13086140760 has 512 divisors, whose sum is σ = 55866931200. Its totient is φ = 2645084160.

The previous prime is 13086140759. The next prime is 13086140791. The reversal of 13086140760 is 6704168031.

13086140760 is a `hidden beast` number, since 1 + 30 + 8 + 614 + 0 + 7 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3074794 + ... + 3079046.

It is an arithmetic number, because the mean of its divisors is an integer number (109115100).

Almost surely, 213086140760 is an apocalyptic number.

13086140760 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 13086140760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933465600).

13086140760 is an abundant number, since it is smaller than the sum of its proper divisors (42780790440).

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

13086140760 is a wasteful number, since it uses less digits than its factorization.

13086140760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13086140760 in words is "thirteen billion, eighty-six million, one hundred forty thousand, seven hundred sixty".