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12262680009 = 3219229313151
BaseRepresentation
bin10110110101110100…
…11010010111001001
31011122121101200120200
423122322122113021
5200103221230014
65344451442413
7612611026446
oct133272322711
934577350520
1012262680009
115222a65a98
1224628b6409
1312056c6898
148448789cd
154bb85ba09
hex2dae9a5c9

12262680009 has 24 divisors (see below), whose sum is σ = 18726489600. Its totient is φ = 7711005600.

The previous prime is 12262679993. The next prime is 12262680019. The reversal of 12262680009 is 90008626221.

It is a happy number.

12262680009 is a `hidden beast` number, since 1 + 22 + 626 + 8 + 0 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 12262680009 - 24 = 12262679993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12262680019) by changing a digit.

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, 117417 + ... + 195734.

It is an arithmetic number, because the mean of its divisors is an integer number (780270400).

Almost surely, 212262680009 is an apocalyptic number.

12262680009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12262680009 is a deficient number, since it is larger than the sum of its proper divisors (6463809591).

12262680009 is a wasteful number, since it uses less digits than its factorization.

12262680009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313405 (or 313402 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12262680009 in words is "twelve billion, two hundred sixty-two million, six hundred eighty thousand, nine".

Divisors: 1 3 9 19 57 171 229 687 2061 4351 13053 39159 313151 939453 2818359 5949869 17849607 53548821 71711579 215134737 645404211 1362520001 4087560003 12262680009