Search a number
-
+
12368139264 = 210331322647
BaseRepresentation
bin10111000010011001…
…01101010000000000
31011220221211120111000
423201030231100000
5200312220424024
65403140052000
7615331310025
oct134114552000
934827746430
1012368139264
1152775460a8
122492094000
1312214cc200
1485488b54c
154c5c3dcc9
hex2e132d400

12368139264 has 264 divisors, whose sum is σ = 39677737920. Its totient is φ = 3804143616.

The previous prime is 12368139233. The next prime is 12368139283. The reversal of 12368139264 is 46293186321.

12368139264 is a `hidden beast` number, since 12 + 368 + 13 + 9 + 264 = 666.

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

It is a congruent number.

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, 4671189 + ... + 4673835.

Almost surely, 212368139264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838868960).

12368139264 is an abundant number, since it is smaller than the sum of its proper divisors (27309598656).

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

12368139264 is a wasteful number, since it uses less digits than its factorization.

12368139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2665 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12368139264 in words is "twelve billion, three hundred sixty-eight million, one hundred thirty-nine thousand, two hundred sixty-four".