Search a number
-
+
12217999968 = 253242423611
BaseRepresentation
bin10110110000011111…
…11110001001100000
31011112111022201002100
423120033332021200
5200010301444333
65340214050400
7611526200106
oct133017761140
934474281070
1012217999968
1151aa819239
12244b949a00
1311c9381aa5
1483c967c76
154b7983213
hex2d83fe260

12217999968 has 36 divisors (see below), whose sum is σ = 34744938228. Its totient is φ = 4072666560.

The previous prime is 12217999939. The next prime is 12217999991. The reversal of 12217999968 is 86999971221.

12217999968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 21211518 + ... + 21212093.

It is an arithmetic number, because the mean of its divisors is an integer number (965137173).

Almost surely, 212217999968 is an apocalyptic number.

12217999968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12217999968 is an abundant number, since it is smaller than the sum of its proper divisors (22526938260).

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

12217999968 is a wasteful number, since it uses less digits than its factorization.

12217999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42423627 (or 42423616 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 12217999968 in words is "twelve billion, two hundred seventeen million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42423611 84847222 127270833 169694444 254541666 339388888 381812499 509083332 678777776 763624998 1018166664 1357555552 1527249996 2036333328 3054499992 4072666656 6108999984 12217999968