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13368194496 = 2632192973577
BaseRepresentation
bin11000111001100111…
…00111010111000000
31021111122121122100200
430130303213113000
5204334224210441
610050302445200
7652163530656
oct143463472700
937448548320
1013368194496
11573aaa7428
122710b93800
131350758577
1490b610dd6
155339317b6
hex31cce75c0

13368194496 has 336 divisors, whose sum is σ = 42369943200. Its totient is φ = 4013162496.

The previous prime is 13368194491. The next prime is 13368194533. The reversal of 13368194496 is 69449186331.

13368194496 is a `hidden beast` number, since 1 + 3 + 3 + 68 + 1 + 94 + 496 = 666.

13368194496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368194491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23168160 + ... + 23168736.

Almost surely, 213368194496 is an apocalyptic number.

13368194496 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 13368194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21184971600).

13368194496 is an abundant number, since it is smaller than the sum of its proper divisors (29001748704).

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

13368194496 is a wasteful number, since it uses less digits than its factorization.

13368194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13368194496 in words is "thirteen billion, three hundred sixty-eight million, one hundred ninety-four thousand, four hundred ninety-six".