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12864679509682 = 27111373450719531
BaseRepresentation
bin1011101100110100101010…
…1001101111111010110010
31200112211222122010101000201
42323031022221233322302
53141233330423302212
643205541400505414
72465304515406430
oct273151251577262
950484878111021
1012864679509682
11410a975224530
12153931717b26a
13724198731880
143269220add50
1517498e6b1b57
hexbb34aa6feb2

12864679509682 has 128 divisors (see below), whose sum is σ = 26271378782208. Its totient is φ = 4562033011200.

The previous prime is 12864679509667. The next prime is 12864679509739. The reversal of 12864679509682 is 28690597646821.

It is a super-2 number, since 2×128646795096822 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658670257 + ... + 658689787.

It is an arithmetic number, because the mean of its divisors is an integer number (205245146736).

Almost surely, 212864679509682 is an apocalyptic number.

12864679509682 is an abundant number, since it is smaller than the sum of its proper divisors (13406699272526).

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

12864679509682 is a wasteful number, since it uses less digits than its factorization.

12864679509682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24144.

The product of its (nonzero) digits is 627056640, while the sum is 73.

The spelling of 12864679509682 in words is "twelve trillion, eight hundred sixty-four billion, six hundred seventy-nine million, five hundred nine thousand, six hundred eighty-two".

Divisors: 1 2 7 11 13 14 22 26 73 77 91 143 146 154 182 286 511 803 949 1001 1022 1606 1898 2002 4507 5621 6643 9014 10439 11242 13286 19531 20878 31549 39062 49577 58591 63098 73073 99154 117182 136717 146146 214841 253903 273434 329011 347039 410137 429682 507806 644501 658022 694078 820274 1289002 1425763 1503887 1777321 2303077 2792933 2851526 3007774 3554642 3619121 4277143 4511507 4606154 5585866 7238242 8554286 9023014 9980341 15683393 18534919 19550531 19960682 25333847 29940001 31366786 37069838 39101062 47048573 50667694 59880002 88026217 94097146 109783751 129744433 176052434 203884109 219567502 259488866 329340011 407768218 616183519 658680022 968288387 1144340821 1232367038 1427188763 1936576774 2288681642 2854377526 6425913841 6778018709 8010385747 12587749031 12851827682 13556037418 16020771494 25175498062 44981396887 70685052251 83536879933 88114243217 89962793774 141370104502 167073759866 176228486434 494795365757 584758159531 918905679263 989590731514 1169516319062 1837811358526 6432339754841 12864679509682