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12045432663 = 3211294397571
BaseRepresentation
bin10110011011111011…
…01011011101010111
31011002110121101020200
423031331223131113
5144132112321123
65311131231543
7604332326325
oct131575533527
934073541220
1012045432663
115121372930
122401ba85b3
13119c6b1064
14823a86d15
154a7747143
hex2cdf6b757

12045432663 has 48 divisors (see below), whose sum is σ = 20092026240. Its totient is φ = 6884539200.

The previous prime is 12045432631. The next prime is 12045432667. The reversal of 12045432663 is 36623454021.

12045432663 is a `hidden beast` number, since 120 + 45 + 432 + 6 + 63 = 666.

It is not a de Polignac number, because 12045432663 - 25 = 12045432631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045432667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 74668 + ... + 172238.

It is an arithmetic number, because the mean of its divisors is an integer number (418583880).

Almost surely, 212045432663 is an apocalyptic number.

12045432663 is a deficient number, since it is larger than the sum of its proper divisors (8046593577).

12045432663 is a wasteful number, since it uses less digits than its factorization.

12045432663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97660 (or 97657 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12045432663 its reverse (36623454021), we get a palindrome (48668886684).

The spelling of 12045432663 in words is "twelve billion, forty-five million, four hundred thirty-two thousand, six hundred sixty-three".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 319 387 473 957 1247 1419 2871 3741 4257 11223 13717 41151 97571 123453 292713 878139 1073281 2829559 3219843 4195553 8488677 9659529 12586659 25466031 31125149 37759977 46151083 93375447 121671037 138453249 280126341 365013111 415359747 1095039333 1338381407 4015144221 12045432663