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12045441105 = 325267676469
BaseRepresentation
bin10110011011111011…
…01101100001010001
31011002110121210211100
423031331231201101
5144132113103410
65311131335013
7604332363045
oct131575554121
934073553740
1012045441105
115121379205
122401bb1469
13119c6b4b59
14823a8a025
154a77498c0
hex2cdf6d851

12045441105 has 12 divisors (see below), whose sum is σ = 20878764660. Its totient is φ = 6424235232.

The previous prime is 12045441061. The next prime is 12045441157. The reversal of 12045441105 is 50114454021.

12045441105 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 544 + 110 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8860080384 + 3185360721 = 94128^2 + 56439^2 .

It is not a de Polignac number, because 12045441105 - 26 = 12045441041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133838190 + ... + 133838279.

It is an arithmetic number, because the mean of its divisors is an integer number (1739897055).

Almost surely, 212045441105 is an apocalyptic number.

12045441105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12045441105 is a deficient number, since it is larger than the sum of its proper divisors (8833323555).

12045441105 is a wasteful number, since it uses less digits than its factorization.

12045441105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267676480 (or 267676477 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12045441105 its reverse (50114454021), we get a palindrome (62159895126).

The spelling of 12045441105 in words is "twelve billion, forty-five million, four hundred forty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 267676469 803029407 1338382345 2409088221 4015147035 12045441105