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12417996339 = 327251785303
BaseRepresentation
bin10111001000010101…
…11001011000110011
31012001102122120112100
423210022321120303
5200413001340324
65412120431443
7616505140650
oct134412713063
935042576470
1012417996339
1152a26a94a1
1224a6918583
13122b937538
1485b348c27
154ca2db4c9
hex2e42b9633

12417996339 has 24 divisors (see below), whose sum is σ = 20581247232. Its totient is φ = 7067718000.

The previous prime is 12417996287. The next prime is 12417996427. The reversal of 12417996339 is 93369971421.

It is a happy number.

12417996339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12417996339 - 224 = 12401219123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12417996139) 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 23 ways as a sum of consecutive naturals, for example, 376839 + ... + 408464.

It is an arithmetic number, because the mean of its divisors is an integer number (857551968).

Almost surely, 212417996339 is an apocalyptic number.

12417996339 is a deficient number, since it is larger than the sum of its proper divisors (8163250893).

12417996339 is a wasteful number, since it uses less digits than its factorization.

12417996339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785567 (or 785564 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 12417996339 in words is "twelve billion, four hundred seventeen million, nine hundred ninety-six thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 21 63 251 753 1757 2259 5271 15813 785303 2355909 5497121 7067727 16491363 49474089 197111053 591333159 1379777371 1773999477 4139332113 12417996339