Search a number
-
+
12324223152 = 243285584883
BaseRepresentation
bin10110111101001010…
…01011100010110000
31011210220012101220100
423132211023202300
5200220000120102
65354530512400
7614256111513
oct133645134260
934726171810
1012324223152
11525478029a
12247b435700
131215394047
1484cad8d7a
154c1e66a1c
hex2de94b8b0

12324223152 has 30 divisors (see below), whose sum is σ = 34490708252. Its totient is φ = 4108074336.

The previous prime is 12324223141. The next prime is 12324223157. The reversal of 12324223152 is 25132242321.

12324223152 is a `hidden beast` number, since 1 + 2 + 324 + 22 + 315 + 2 = 666.

12324223152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12324223157) 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 5 ways as a sum of consecutive naturals, for example, 42792298 + ... + 42792585.

Almost surely, 212324223152 is an apocalyptic number.

12324223152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12324223152 is an abundant number, since it is smaller than the sum of its proper divisors (22166485100).

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

12324223152 is a wasteful number, since it uses less digits than its factorization.

12324223152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85584897 (or 85584888 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 12324223152 its reverse (25132242321), we get a palindrome (37456465473).

The spelling of 12324223152 in words is "twelve billion, three hundred twenty-four million, two hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85584883 171169766 256754649 342339532 513509298 684679064 770263947 1027018596 1369358128 1540527894 2054037192 3081055788 4108074384 6162111576 12324223152