Search a number
-
+
12317865984 = 2113217192069
BaseRepresentation
bin10110111100011001…
…11011100000000000
31011210110020102111200
423132030323200000
5200211333202414
65354142341200
7614151063504
oct133614734000
934713212450
1012317865984
115251129036
12247928a800
131213c795c8
1484bd22304
154c160d109
hex2de33b800

12317865984 has 288 divisors, whose sum is σ = 39670722000. Its totient is φ = 3659268096.

The previous prime is 12317865983. The next prime is 12317865991. The reversal of 12317865984 is 48956871321.

12317865984 is a `hidden beast` number, since 12 + 31 + 7 + 8 + 6 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 12317865984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12317865983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5952502 + ... + 5954570.

Almost surely, 212317865984 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 12317865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835361000).

12317865984 is an abundant number, since it is smaller than the sum of its proper divisors (27352856016).

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

12317865984 is a wasteful number, since it uses less digits than its factorization.

12317865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2110 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 12317865984 in words is "twelve billion, three hundred seventeen million, eight hundred sixty-five thousand, nine hundred eighty-four".