Search a number
-
+
12856516452 = 223313411731291
BaseRepresentation
bin10111111100100111…
…01101111101100100
31020011222210201001000
423332103231331210
5202312232011302
65523423433300
7633411405153
oct137623557544
936158721030
1012856516452
1154a819410a
1225a9755830
13129b744bb0
1489d69959a
15503a5d31c
hex2fe4edf64

12856516452 has 192 divisors, whose sum is σ = 37012389120. Its totient is φ = 3834086400.

The previous prime is 12856516433. The next prime is 12856516469. The reversal of 12856516452 is 25461565821.

12856516452 is a `hidden beast` number, since 1 + 2 + 85 + 6 + 516 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12856516398 and 12856516407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9957927 + ... + 9959217.

It is an arithmetic number, because the mean of its divisors is an integer number (192772860).

Almost surely, 212856516452 is an apocalyptic number.

12856516452 is a gapful number since it is divisible by the number (12) 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 12856516452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506194560).

12856516452 is an abundant number, since it is smaller than the sum of its proper divisors (24155872668).

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

12856516452 is a wasteful number, since it uses less digits than its factorization.

12856516452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 12856516452 in words is "twelve billion, eight hundred fifty-six million, five hundred sixteen thousand, four hundred fifty-two".