Search a number
-
+
13137852096 = 2632471493257
BaseRepresentation
bin11000011110001001…
…11011011011000000
31020220121012000222200
430033010323123000
5203401242231341
610011353433200
7643365620535
oct141704733300
936817160880
1013137852096
115631a7a806
122667a0b800
131314b094a5
148c8bb0d8c
1551d5d1db6
hex30f13b6c0

13137852096 has 168 divisors, whose sum is σ = 38728497600. Its totient is φ = 4256034816.

The previous prime is 13137852073. The next prime is 13137852137. The reversal of 13137852096 is 69025873131.

13137852096 is a `hidden beast` number, since 1 + 3 + 1 + 37 + 8 + 520 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4032100 + ... + 4035356.

Almost surely, 213137852096 is an apocalyptic number.

13137852096 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 13137852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364248800).

13137852096 is an abundant number, since it is smaller than the sum of its proper divisors (25590645504).

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

13137852096 is a wasteful number, since it uses less digits than its factorization.

13137852096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13137852096 in words is "thirteen billion, one hundred thirty-seven million, eight hundred fifty-two thousand, ninety-six".