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12761896875 = 35572132137
BaseRepresentation
bin10111110001010101…
…10001011110101011
31012221101202112101020
423320222301132223
5202114021200000
65510203423523
7631152222300
oct137052613653
935841675336
1012761896875
115459838012
122581b24ba3
131284c66390
14890ca90a7
154ea5bcba0
hex2f8ab17ab

12761896875 has 144 divisors (see below), whose sum is σ = 26656481376. Its totient is φ = 5382720000.

The previous prime is 12761896867. The next prime is 12761896913. The reversal of 12761896875 is 57869816721.

It is not a de Polignac number, because 12761896875 - 23 = 12761896867 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5970807 + ... + 5972943.

It is an arithmetic number, because the mean of its divisors is an integer number (185114454).

Almost surely, 212761896875 is an apocalyptic number.

12761896875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12761896875 is an abundant number, since it is smaller than the sum of its proper divisors (13894584501).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12761896875 is an equidigital number, since it uses as much as digits as its factorization.

12761896875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2165 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 60.

The spelling of 12761896875 in words is "twelve billion, seven hundred sixty-one million, eight hundred ninety-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 325 375 455 525 625 637 735 875 975 1225 1365 1625 1875 1911 2137 2275 2625 3125 3185 3675 4375 4875 6125 6411 6825 8125 9375 9555 10685 11375 13125 14959 15925 18375 21875 24375 27781 30625 32055 34125 40625 44877 47775 53425 56875 65625 74795 79625 83343 91875 104713 121875 138905 153125 160275 170625 194467 224385 238875 267125 284375 314139 373975 398125 416715 459375 523565 583401 694525 801375 853125 972335 1121925 1194375 1335625 1361269 1570695 1869875 1990625 2083575 2617825 2917005 3472625 4006875 4083807 4861675 5609625 5971875 6678125 6806345 7853475 9349375 10417875 13089125 14585025 17363125 20034375 20419035 24308375 28048125 34031725 39267375 46746875 52089375 65445625 72925125 86815625 102095175 121541875 140240625 170158625 196336875 260446875 327228125 364625625 510475875 607709375 850793125 981684375 1823128125 2552379375 4253965625 12761896875