Search a number
-
+
12323818872 = 233511356101
BaseRepresentation
bin10110111101000111…
…01000110101111000
31011210212102212100000
423132203220311320
5200214344200442
65354514113000
7614252506041
oct133643506570
934725385300
1012323818872
115254524582
12247b27b760
131215282021
1484ca318c8
154c1dd6d4c
hex2de8e8d78

12323818872 has 96 divisors (see below), whose sum is σ = 34920128880. Its totient is φ = 4071513600.

The previous prime is 12323818867. The next prime is 12323818883. The reversal of 12323818872 is 27881832321.

12323818872 is a `hidden beast` number, since 123 + 2 + 381 + 88 + 72 = 666.

It is a super-3 number, since 3×123238188723 (a number of 31 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 191622 + ... + 247722.

Almost surely, 212323818872 is an apocalyptic number.

12323818872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323818872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460064440).

12323818872 is an abundant number, since it is smaller than the sum of its proper divisors (22596310008).

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

12323818872 is a wasteful number, since it uses less digits than its factorization.

12323818872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56235 (or 56219 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 12323818872 in words is "twelve billion, three hundred twenty-three million, eight hundred eighteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 324 339 452 486 648 678 904 972 1017 1356 1944 2034 2712 3051 4068 6102 8136 9153 12204 18306 24408 27459 36612 54918 56101 73224 109836 112202 168303 219672 224404 336606 448808 504909 673212 1009818 1346424 1514727 2019636 3029454 4039272 4544181 6058908 6339413 9088362 12117816 12678826 13632543 18176724 19018239 25357652 27265086 36353448 38036478 50715304 54530172 57054717 76072956 109060344 114109434 152145912 171164151 228218868 342328302 456437736 513492453 684656604 1026984906 1369313208 1540477359 2053969812 3080954718 4107939624 6161909436 12323818872