Search a number
-
+
13295848896 = 2633116111467
BaseRepresentation
bin11000110000111111…
…01000110111000000
31021022121111002212000
430120133220313000
5204212214131041
610035200104000
7650324564601
oct143037506700
937277432760
1013295848896
115703184080
1226b0905000
13133b778215
14901b7bda8
1552c3e0bb6
hex3187e8dc0

13295848896 has 224 divisors, whose sum is σ = 43343535360. Its totient is φ = 3962649600.

The previous prime is 13295848849. The next prime is 13295848931. The reversal of 13295848896 is 69884859231.

13295848896 is a `hidden beast` number, since 13 + 2 + 9 + 58 + 488 + 96 = 666.

It is a super-3 number, since 3×132958488963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153755 + ... + 1165221.

Almost surely, 213295848896 is an apocalyptic number.

13295848896 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 13295848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671767680).

13295848896 is an abundant number, since it is smaller than the sum of its proper divisors (30047686464).

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

13295848896 is a wasteful number, since it uses less digits than its factorization.

13295848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11544 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 13295848896 in words is "thirteen billion, two hundred ninety-five million, eight hundred forty-eight thousand, eight hundred ninety-six".