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12324181338 = 2327103949621
BaseRepresentation
bin10110111101001010…
…00001010101011010
31011210220010021112200
423132211001111122
5200214442300323
65354525551030
7614255545560
oct133645012532
934726107480
1012324181338
115254751937
12247b415476
13121537acc1
1484cac7a30
154c1e59443
hex2de94155a

12324181338 has 48 divisors (see below), whose sum is σ = 30813334656. Its totient is φ = 3487004640.

The previous prime is 12324181307. The next prime is 12324181339. The reversal of 12324181338 is 83318142321.

12324181338 is a `hidden beast` number, since 1 + 2 + 3 + 241 + 81 + 338 = 666.

12324181338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12324181339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461833 + ... + 487788.

It is an arithmetic number, because the mean of its divisors is an integer number (641944472).

Almost surely, 212324181338 is an apocalyptic number.

12324181338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12324181338 is an abundant number, since it is smaller than the sum of its proper divisors (18489153318).

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

12324181338 is a wasteful number, since it uses less digits than its factorization.

12324181338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949739 (or 949736 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 12324181338 in words is "twelve billion, three hundred twenty-four million, one hundred eighty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1854 2163 4326 6489 12978 949621 1899242 2848863 5697726 6647347 8546589 13294694 17093178 19942041 39884082 59826123 97810963 119652246 195621926 293432889 586865778 684676741 880298667 1369353482 1760597334 2054030223 4108060446 6162090669 12324181338