Search a number
-
+
12333034008 = 23321271348757
BaseRepresentation
bin10110111110001101…
…10010101000011000
31011211111210001010100
423133012302220120
5200224224042013
65355443415400
7614424026241
oct133706625030
934744701110
1012333034008
115259748a99
122482384560
13121715a579
1484dd4dcc8
154c2b07473
hex2df1b2a18

12333034008 has 48 divisors (see below), whose sum is σ = 33664999680. Its totient is φ = 4078638144.

The previous prime is 12333033989. The next prime is 12333034019. The reversal of 12333034008 is 80043033321.

12333034008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 665235 + ... + 683522.

It is an arithmetic number, because the mean of its divisors is an integer number (701354160).

Almost surely, 212333034008 is an apocalyptic number.

12333034008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12333034008 is an abundant number, since it is smaller than the sum of its proper divisors (21331965672).

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

12333034008 is a wasteful number, since it uses less digits than its factorization.

12333034008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348896 (or 1348889 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12333034008 its reverse (80043033321), we get a palindrome (92376067329).

The spelling of 12333034008 in words is "twelve billion, three hundred thirty-three million, thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 1348757 2697514 4046271 5395028 8092542 10790056 12138813 16185084 24277626 32370168 48555252 97110504 171292139 342584278 513876417 685168556 1027752834 1370337112 1541629251 2055505668 3083258502 4111011336 6166517004 12333034008