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12853085841 = 3217768110937
BaseRepresentation
bin10111111100001101…
…01000011010010001
31020011202100102010100
423332012220122101
5202310342221331
65523222123013
7633340266321
oct137606503221
936152312110
1012853085841
1154a62606a2
1225a8580469
13129ab1354b
1489d045281
155035d1ae6
hex2fe1a8691

12853085841 has 24 divisors (see below), whose sum is σ = 19662017544. Its totient is φ = 8062894080.

The previous prime is 12853085759. The next prime is 12853085879. The reversal of 12853085841 is 14858035821.

12853085841 is a `hidden beast` number, since 1 + 28 + 530 + 8 + 58 + 41 = 666.

12853085841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8273721600 + 4579364241 = 90960^2 + 67671^2 .

It is not a de Polignac number, because 12853085841 - 214 = 12853069457 is a prime.

It is a super-2 number, since 2×128530858412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12853085881) by changing a digit.

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, 1169725 + ... + 1180661.

It is an arithmetic number, because the mean of its divisors is an integer number (819250731).

Almost surely, 212853085841 is an apocalyptic number.

It is an amenable number.

12853085841 is a deficient number, since it is larger than the sum of its proper divisors (6808931703).

12853085841 is a wasteful number, since it uses less digits than its factorization.

12853085841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18638 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12853085841 in words is "twelve billion, eight hundred fifty-three million, eighty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 17 51 153 7681 10937 23043 32811 69129 98433 130577 185929 391731 557787 1175193 1673361 84007097 252021291 756063873 1428120649 4284361947 12853085841