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12337818339 = 372117630067
BaseRepresentation
bin10110111110110010…
…00010101011100011
31011211211210002222210
423133121002223203
5200231440141324
65400134133203
7614512503600
oct133731025343
934754702883
1012337818339
115261416590
122483ab1203
131218144132
148508376a7
154c324ed29
hex2df642ae3

12337818339 has 24 divisors (see below), whose sum is σ = 20875866048. Its totient is φ = 6409255440.

The previous prime is 12337818307. The next prime is 12337818343. The reversal of 12337818339 is 93381873321.

It is not a de Polignac number, because 12337818339 - 25 = 12337818307 is a prime.

It is a super-2 number, since 2×123378183392 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12337818349) 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, 3813417 + ... + 3816650.

It is an arithmetic number, because the mean of its divisors is an integer number (869827752).

Almost surely, 212337818339 is an apocalyptic number.

12337818339 is a deficient number, since it is larger than the sum of its proper divisors (8538047709).

12337818339 is a wasteful number, since it uses less digits than its factorization.

12337818339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630095 (or 7630088 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 12337818339 in words is "twelve billion, three hundred thirty-seven million, eight hundred eighteen thousand, three hundred thirty-nine".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 7630067 22890201 53410469 83930737 160231407 251792211 373873283 587515159 1121619849 1762545477 4112606113 12337818339