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12983852205 = 335163590041
BaseRepresentation
bin11000001011110010…
…11101110010101101
31020111212102000212000
430011321131302231
5203042331232310
65544213002513
7636515631342
oct140571356255
936455360760
1012983852205
115563056375
122624323439
1312bbc39aac
148b25647c9
1550ed124c0
hex305e5dcad

12983852205 has 32 divisors (see below), whose sum is σ = 23224053120. Its totient is φ = 6882226560.

The previous prime is 12983852129. The next prime is 12983852207. The reversal of 12983852205 is 50225838921.

12983852205 is a `hidden beast` number, since 1 + 2 + 98 + 38 + 522 + 0 + 5 = 666.

It is not a de Polignac number, because 12983852205 - 215 = 12983819437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983852207) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 273016 + ... + 317025.

It is an arithmetic number, because the mean of its divisors is an integer number (725751660).

Almost surely, 212983852205 is an apocalyptic number.

12983852205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12983852205 is a deficient number, since it is larger than the sum of its proper divisors (10240200915).

12983852205 is a wasteful number, since it uses less digits than its factorization.

12983852205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590218 (or 590212 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12983852205 in words is "twelve billion, nine hundred eighty-three million, eight hundred fifty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 135 163 489 815 1467 2445 4401 7335 22005 590041 1770123 2950205 5310369 8850615 15931107 26551845 79655535 96176683 288530049 480883415 865590147 1442650245 2596770441 4327950735 12983852205