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12433606217 = 1718110933697
BaseRepresentation
bin10111001010001100…
…11100011001001001
31012002112000122020222
423211012130121021
5200431000344332
65413435155425
7620054623544
oct134506343111
935075018228
1012433606217
1153004a041a
1224abba5b75
131231c41656
1485d44d85b
154cb871712
hex2e519c649

12433606217 has 16 divisors (see below), whose sum is σ = 13253424912. Its totient is φ = 11623772160.

The previous prime is 12433606193. The next prime is 12433606231. The reversal of 12433606217 is 71260633421.

It can be written as a sum of positive squares in 8 ways, for example, as 126810121 + 12306796096 = 11261^2 + 110936^2 .

It is a cyclic number.

It is not a de Polignac number, because 12433606217 - 210 = 12433605193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12433602217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361313 + ... + 3365009.

It is an arithmetic number, because the mean of its divisors is an integer number (828339057).

Almost surely, 212433606217 is an apocalyptic number.

12433606217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12433606217 is a deficient number, since it is larger than the sum of its proper divisors (819818695).

12433606217 is a wasteful number, since it uses less digits than its factorization.

12433606217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 12433606217 in words is "twelve billion, four hundred thirty-three million, six hundred six thousand, two hundred seventeen".

Divisors: 1 17 181 1093 3077 3697 18581 62849 197833 669157 3363161 4040821 11375669 68693957 731388601 12433606217