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12443513666105 = 537101665962733
BaseRepresentation
bin1011010100010011101100…
…1101100011101000111001
31122001120212212021202001102
42311010323031203220321
53112333303444303410
642244245443101145
72423004603662564
oct265047315435071
948046785252042
1012443513666105
113a682a0076625
12148b7776717b5
136c3559023242
143103aac674db
15168a3ea0c2a5
hexb513b363a39

12443513666105 has 16 divisors (see below), whose sum is σ = 15487629341904. Its totient is φ = 9589863340800.

The previous prime is 12443513666083. The next prime is 12443513666137. The reversal of 12443513666105 is 50166631534421.

It can be written as a sum of positive squares in 8 ways, for example, as 1952159456809 + 10491354209296 = 1397197^2 + 3239036^2 .

It is not a de Polignac number, because 12443513666105 - 228 = 12443245230649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12443513666105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332962682 + ... + 333000051.

It is an arithmetic number, because the mean of its divisors is an integer number (967976833869).

Almost surely, 212443513666105 is an apocalyptic number.

It is an amenable number.

12443513666105 is a deficient number, since it is larger than the sum of its proper divisors (3044115675799).

12443513666105 is a wasteful number, since it uses less digits than its factorization.

12443513666105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665962876.

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 12443513666105 in words is "twelve trillion, four hundred forty-three billion, five hundred thirteen million, six hundred sixty-six thousand, one hundred five".

Divisors: 1 5 37 101 185 505 3737 18685 665962733 3329813665 24640621121 67262236033 123203105605 336311180165 2488702733221 12443513666105