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12685063417 = 13172792541
BaseRepresentation
bin10111101000001011…
…01011010011111001
31012202001011222200121
423310011223103321
5201434334012132
65454420533241
7626230155115
oct136405532371
935661158617
1012685063417
11541a429994
122560251221
1312720743b0
148849c8745
154e3992497
hex2f416b4f9

12685063417 has 36 divisors (see below), whose sum is σ = 14724870636. Its totient is φ = 10860894720.

The previous prime is 12685063397. The next prime is 12685063429. The reversal of 12685063417 is 71436058621.

It can be written as a sum of positive squares in 6 ways, for example, as 29713401 + 12655350016 = 5451^2 + 112496^2 .

It is a de Polignac number, because none of the positive numbers 2k-12685063417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12685063117) 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 35 ways as a sum of consecutive naturals, for example, 23447167 + ... + 23447707.

Almost surely, 212685063417 is an apocalyptic number.

12685063417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12685063417 is a deficient number, since it is larger than the sum of its proper divisors (2039807219).

12685063417 is an equidigital number, since it uses as much as digits as its factorization.

12685063417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 12685063417 in words is "twelve billion, six hundred eighty-five million, sixty-three thousand, four hundred seventeen".

Divisors: 1 13 17 79 221 289 541 1027 1343 3757 6241 7033 9197 17459 22831 42739 81133 106097 119561 156349 296803 555607 726563 1379261 1803649 2032537 3376381 9445319 12351571 23447437 43892953 57398477 160570423 746180201 975774109 12685063417