Search a number
-
+
12389915316 = 223171793111091
BaseRepresentation
bin10111000100111111…
…10001101010110100
31011222110210220121110
423202133301222310
5200333304242231
65405234515020
7616014354042
oct134237615264
934873726543
1012389915316
115288869839
122499435a70
131225b84b4c
14857719392
154c7ae1046
hex2e27f1ab4

12389915316 has 96 divisors (see below), whose sum is σ = 30908666880. Its totient is φ = 3849356800.

The previous prime is 12389915261. The next prime is 12389915327. The reversal of 12389915316 is 61351998321.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11355931 + ... + 11357021.

It is an arithmetic number, because the mean of its divisors is an integer number (321965280).

Almost surely, 212389915316 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 12389915316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454333440).

12389915316 is an abundant number, since it is smaller than the sum of its proper divisors (18518751564).

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

12389915316 is a wasteful number, since it uses less digits than its factorization.

12389915316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The spelling of 12389915316 in words is "twelve billion, three hundred eighty-nine million, nine hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 179 204 311 358 537 622 716 933 1074 1091 1244 1866 2148 2182 3043 3273 3732 4364 5287 6086 6546 9129 10574 12172 13092 15861 18258 18547 21148 31722 36516 37094 55641 55669 63444 74188 111282 111338 167007 195289 222564 222676 334014 339301 390578 585867 668028 678602 781156 946373 1017903 1171734 1357204 1892746 2035806 2343468 2839119 3319913 3785492 4071612 5678238 5768117 6639826 9959739 11356476 11536234 13279652 17304351 19919478 23072468 34608702 39838956 60734879 69217404 121469758 182204637 242939516 364409274 728818548 1032492943 2064985886 3097478829 4129971772 6194957658 12389915316