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12982336875 = 3254171271069
BaseRepresentation
bin11000001011100111…
…01011110101101011
31020111202120001012200
430011303223311223
5203041434240000
65544120311243
7636500020434
oct140563536553
936452501180
1012982336875
115562210932
122623912523
1312bb829151
148b228c48b
1550eb13500
hex305cebd6b

12982336875 has 120 divisors (see below), whose sum is σ = 25029987840. Its totient is φ = 6459264000.

The previous prime is 12982336859. The next prime is 12982336879. The reversal of 12982336875 is 57863328921.

It is not a de Polignac number, because 12982336875 - 24 = 12982336859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12982336879) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12143841 + ... + 12144909.

It is an arithmetic number, because the mean of its divisors is an integer number (208583232).

Almost surely, 212982336875 is an apocalyptic number.

12982336875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12982336875 is a deficient number, since it is larger than the sum of its proper divisors (12047650965).

12982336875 is a wasteful number, since it uses less digits than its factorization.

12982336875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1221 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12982336875 in words is "twelve billion, nine hundred eighty-two million, three hundred thirty-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 127 153 225 255 375 381 425 625 635 765 1069 1125 1143 1275 1875 1905 2125 2159 3175 3207 3825 5345 5625 5715 6375 6477 9525 9621 10625 10795 15875 16035 18173 19125 19431 26725 28575 31875 32385 47625 48105 53975 54519 79375 80175 90865 95625 97155 133625 135763 142875 161925 163557 238125 240525 269875 272595 400875 407289 454325 485775 668125 678815 714375 809625 817785 1202625 1221867 1349375 1362975 2004375 2036445 2271625 2307971 2428875 3394075 4048125 4088925 6013125 6109335 6814875 6923913 10182225 11358125 11539855 12144375 16970375 20444625 20771739 30546675 34074375 34619565 50911125 57699275 84851875 102223125 103858695 152733375 173097825 254555625 288496375 519293475 763666875 865489125 1442481875 2596467375 4327445625 12982336875