Search a number
-
+
12536894016 = 2633312271031
BaseRepresentation
bin10111010110100000…
…11101001001000000
31012100201101012111000
423223100131021000
5201133421102031
65432005052000
7622450561263
oct135320351100
935321335430
1012536894016
115353828039
12251a6b7000
13124a4667aa
1486d058cda
154d59753e6
hex2eb41d240

12536894016 has 224 divisors, whose sum is σ = 38249717760. Its totient is φ = 4022438400.

The previous prime is 12536894009. The next prime is 12536894021. The reversal of 12536894016 is 61049863521.

12536894016 is a `hidden beast` number, since 12 + 536 + 8 + 94 + 0 + 16 = 666.

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, 12159421 + ... + 12160451.

Almost surely, 212536894016 is an apocalyptic number.

12536894016 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 12536894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124858880).

12536894016 is an abundant number, since it is smaller than the sum of its proper divisors (25712823744).

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

12536894016 is a wasteful number, since it uses less digits than its factorization.

12536894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12536894016 in words is "twelve billion, five hundred thirty-six million, eight hundred ninety-four thousand, sixteen".