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12724041656105 = 513353661838949
BaseRepresentation
bin1011100100101000101111…
…1110111010011100101001
31200001101222100012011122222
42321022023332322130221
53131432314130443410
643021202151323425
72452165420362623
oct271121376723451
950041870164588
1012724041656105
11406626588857a
121516007980575
13713b4497c430
1431dbbdc83c13
15170eac996955
hexb928bfba729

12724041656105 has 32 divisors (see below), whose sum is σ = 16514925386400. Its totient is φ = 9355411169280.

The previous prime is 12724041656083. The next prime is 12724041656111. The reversal of 12724041656105 is 50165614042721.

It can be written as a sum of positive squares in 16 ways, for example, as 4418134948096 + 8305906708009 = 2101936^2 + 2881997^2 .

It is not a de Polignac number, because 12724041656105 - 28 = 12724041655849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14747171 + ... + 15586119.

It is an arithmetic number, because the mean of its divisors is an integer number (516091418325).

Almost surely, 212724041656105 is an apocalyptic number.

It is an amenable number.

12724041656105 is a deficient number, since it is larger than the sum of its proper divisors (3790883730295).

12724041656105 is a wasteful number, since it uses less digits than its factorization.

12724041656105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839981.

The product of its (nonzero) digits is 403200, while the sum is 44.

Adding to 12724041656105 its reverse (50165614042721), we get a palindrome (62889655698826).

The spelling of 12724041656105 in words is "twelve trillion, seven hundred twenty-four billion, forty-one million, six hundred fifty-six thousand, one hundred five".

Divisors: 1 5 13 65 353 661 1765 3305 4589 8593 22945 42965 233333 838949 1166665 3033329 4194745 10906337 15166645 54531685 296148997 554545289 1480744985 2772726445 3849936961 7209088757 19249684805 36045443785 195754487017 978772435085 2544808331221 12724041656105