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13863674304 = 2632236715619
BaseRepresentation
bin11001110100101011…
…01110000111000000
31022210011221121212200
430322111232013000
5211343100034204
610211402353200
71000361200344
oct147225560700
938704847780
1013863674304
115974756777
12282aabb800
1313cc2ba09c
1495734b624
155621a5539
hex33a56e1c0

13863674304 has 168 divisors, whose sum is σ = 42087027840. Its totient is φ = 4354048512.

The previous prime is 13863674303. The next prime is 13863674317. The reversal of 13863674304 is 40347636831.

13863674304 is a `hidden beast` number, since 1 + 3 + 8 + 636 + 7 + 4 + 3 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13863674304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13863674303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879807 + ... + 895425.

Almost surely, 213863674304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13863674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043513920).

13863674304 is an abundant number, since it is smaller than the sum of its proper divisors (28223353536).

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

13863674304 is a wasteful number, since it uses less digits than its factorization.

13863674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15714 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13863674304 in words is "thirteen billion, eight hundred sixty-three million, six hundred seventy-four thousand, three hundred four".