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12895812075780 = 2232578623911227
BaseRepresentation
bin1011101110101000101001…
…0011000100000100000100
31200122211100022112121000100
42323222022103010010010
53142241110342411110
643232130531444100
72500456150015314
oct273521223040404
950584308477010
1012895812075780
1141220a07a61a7
121543365456630
137270ba63a60a
14328236ad3444
151756b2955bc0
hexbba8a4c4104

12895812075780 has 72 divisors (see below), whose sum is σ = 39117837088512. Its totient is φ = 3438835707456.

The previous prime is 12895812075763. The next prime is 12895812075823. The reversal of 12895812075780 is 8757021859821.

12895812075780 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 58 + 1 + 2 + 0 + 7 + 578 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13696527 + ... + 14607753.

It is an arithmetic number, because the mean of its divisors is an integer number (543303292896).

Almost surely, 212895812075780 is an apocalyptic number.

12895812075780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12895812075780 is an abundant number, since it is smaller than the sum of its proper divisors (26222025012732).

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

12895812075780 is a wasteful number, since it uses less digits than its factorization.

12895812075780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989865 (or 989860 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 12895812075780 in words is "twelve trillion, eight hundred ninety-five billion, eight hundred twelve million, seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 78623 157246 235869 314492 393115 471738 707607 786230 911227 943476 1179345 1415214 1572460 1822454 2358690 2733681 2830428 3538035 3644908 4556135 4717380 5467362 7076070 8201043 9112270 10934724 13668405 14152140 16402086 18224540 27336810 32804172 41005215 54673620 82010430 164020860 71643400421 143286800842 214930201263 286573601684 358217002105 429860402526 644790603789 716434004210 859720805052 1074651006315 1289581207578 1432868008420 2149302012630 2579162415156 3223953018945 4298604025260 6447906037890 12895812075780