Search a number
-
+
12317162642250 = 2353823109318257
BaseRepresentation
bin1011001100111101000000…
…0110101001101101001010
31121121111202020112200200020
42303033100012221231022
53103301022114023000
642110232034121310
72410612526001624
oct263172006515512
947544666480606
1012317162642250
113a19752227264
12146b194a20236
136b4671118bbb
14308222259c14
151655e71d1ba0
hexb33d01a9b4a

12317162642250 has 128 divisors (see below), whose sum is σ = 30810842989056. Its totient is φ = 3277404748800.

The previous prime is 12317162642231. The next prime is 12317162642293. The reversal of 12317162642250 is 5224626171321.

It is a happy number.

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, 674645122 + ... + 674663378.

It is an arithmetic number, because the mean of its divisors is an integer number (240709710852).

Almost surely, 212317162642250 is an apocalyptic number.

12317162642250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12317162642250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405421494528).

12317162642250 is an abundant number, since it is smaller than the sum of its proper divisors (18493680346806).

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

12317162642250 is a wasteful number, since it uses less digits than its factorization.

12317162642250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193 (or 20183 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12317162642250 in words is "twelve trillion, three hundred seventeen billion, one hundred sixty-two million, six hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 823 1093 1646 2186 2469 3279 4115 4938 5465 6558 8230 10930 12345 16395 18257 20575 24690 27325 32790 36514 41150 54650 54771 61725 81975 91285 102875 109542 123450 136625 163950 182570 205750 273250 273855 308625 409875 456425 547710 617250 819750 899539 912850 1369275 1799078 2282125 2698617 2738550 4497695 4564250 5397234 6846375 8995390 13493085 13692750 15025511 19954901 22488475 26986170 30051022 39909802 44976950 45076533 59864703 67465425 75127555 90153066 99774505 112442375 119729406 134930850 150255110 199549010 224884750 225382665 299323515 337327125 375637775 450765330 498872525 598647030 674654250 751275550 997745050 1126913325 1496617575 1878188875 2253826650 2494362625 2993235150 3756377750 4988725250 5634566625 7483087875 11269133250 14966175750 16422883523 32845767046 49268650569 82114417615 98537301138 164228835230 246343252845 410572088075 492686505690 821144176150 1231716264225 2052860440375 2463432528450 4105720880750 6158581321125 12317162642250