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12681613175 = 52711191093181
BaseRepresentation
bin10111100111110001…
…00000111101110111
31012201210200200211212
423303320200331313
5201432443110200
65454214552035
7626155635110
oct136370407567
935653620755
1012681613175
115418492750
12255b06861b
131271436b2a
1488436b207
154e3510035
hex2f3e20f77

12681613175 has 96 divisors (see below), whose sum is σ = 20833190400. Its totient is φ = 7418304000.

The previous prime is 12681613129. The next prime is 12681613237. The reversal of 12681613175 is 57131618621.

It is not a de Polignac number, because 12681613175 - 214 = 12681596791 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3985085 + ... + 3988265.

It is an arithmetic number, because the mean of its divisors is an integer number (217012400).

Almost surely, 212681613175 is an apocalyptic number.

12681613175 is a deficient number, since it is larger than the sum of its proper divisors (8151577225).

12681613175 is a wasteful number, since it uses less digits than its factorization.

12681613175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3332 counting only the distinct ones).

The product of its digits is 60480, while the sum is 41.

The spelling of 12681613175 in words is "twelve billion, six hundred eighty-one million, six hundred thirteen thousand, one hundred seventy-five".

Divisors: 1 5 7 11 19 25 35 55 77 95 109 133 175 209 275 385 475 545 665 763 1045 1199 1463 1925 2071 2725 3181 3325 3815 5225 5995 7315 8393 10355 14497 15905 19075 22267 22781 29975 34991 36575 41965 51775 60439 72485 79525 111335 113905 159467 174955 209825 244937 302195 346729 362425 423073 556675 569525 664829 797335 874775 1224685 1510975 1733645 2115365 2427103 3324145 3814019 3986675 4653803 6123425 6587851 8668225 10576825 12135515 16620725 19070095 23269015 26698133 32939255 46114957 60677575 72466361 95350475 116345075 133490665 164696275 230574785 362331805 507264527 667453325 1152873925 1811659025 2536322635 12681613175