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13968055296 = 21032132337137
BaseRepresentation
bin11010000001000111…
…11001110000000000
31100001110100201200100
431000203321300000
5212101310232141
610230011522400
71003066340166
oct150043716000
940043321610
1013968055296
115a1866a758
122859a59400
131417b059a0
1496715d236
1556b4230b6
hex3408f9c00

13968055296 has 528 divisors, whose sum is σ = 46888156224. Its totient is φ = 3970695168.

The previous prime is 13968055223. The next prime is 13968055303. The reversal of 13968055296 is 69255086931.

It is a happy number.

13968055296 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 80 + 552 + 9 + 6 = 666.

It is a super-2 number, since 2×139680552962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101956540 + ... + 101956676.

Almost surely, 213968055296 is an apocalyptic number.

13968055296 is a gapful number since it is divisible by the number (16) 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 13968055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444078112).

13968055296 is an abundant number, since it is smaller than the sum of its proper divisors (32920100928).

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

13968055296 is a wasteful number, since it uses less digits than its factorization.

13968055296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 13968055296 in words is "thirteen billion, nine hundred sixty-eight million, fifty-five thousand, two hundred ninety-six".