Search a number
-
+
12237179904 = 2103217372111
BaseRepresentation
bin10110110010110010…
…01000110000000000
31011120211102011000100
423121121020300000
5200030204224104
65342141122400
7612151212225
oct133131106000
934524364010
1012237179904
11520a629424
122456259400
131200338b71
1484131b94c
154b94c1139
hex2d9648c00

12237179904 has 264 divisors, whose sum is σ = 38442463488. Its totient is φ = 3733585920.

The previous prime is 12237179893. The next prime is 12237179939. The reversal of 12237179904 is 40997173221.

12237179904 is a `hidden beast` number, since 122 + 371 + 79 + 90 + 4 = 666.

It is a super-2 number, since 2×122371799042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12237179904.

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, 5795809 + ... + 5797919.

It is an arithmetic number, because the mean of its divisors is an integer number (145615392).

Almost surely, 212237179904 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 12237179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221231744).

12237179904 is an abundant number, since it is smaller than the sum of its proper divisors (26205283584).

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

12237179904 is a wasteful number, since it uses less digits than its factorization.

12237179904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12237179904 in words is "twelve billion, two hundred thirty-seven million, one hundred seventy-nine thousand, nine hundred four".