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12871613417 = 132101754093
BaseRepresentation
bin10111111110011010…
…10011101111101001
31020020001012201011212
423333031103233221
5202330113112132
65525123202505
7633653623505
oct137715235751
936201181155
1012871613417
115505765743
1225b2816435
1312a18cc700
148a16a9305
155050415b2
hex2ff353be9

12871613417 has 12 divisors (see below), whose sum is σ = 14075918604. Its totient is φ = 11763835200.

The previous prime is 12871613407. The next prime is 12871613437. The reversal of 12871613417 is 71431617821.

It can be written as a sum of positive squares in 6 ways, for example, as 124300201 + 12747313216 = 11149^2 + 112904^2 .

It is not a de Polignac number, because 12871613417 - 226 = 12804504553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12871613407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359978 + ... + 394115.

It is an arithmetic number, because the mean of its divisors is an integer number (1172993217).

Almost surely, 212871613417 is an apocalyptic number.

It is an amenable number.

12871613417 is a deficient number, since it is larger than the sum of its proper divisors (1204305187).

12871613417 is a wasteful number, since it uses less digits than its factorization.

12871613417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754220 (or 754207 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The spelling of 12871613417 in words is "twelve billion, eight hundred seventy-one million, six hundred thirteen thousand, four hundred seventeen".

Divisors: 1 13 101 169 1313 17069 754093 9803209 76163393 127441717 990124109 12871613417