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12727271106803 = 1110313198516489
BaseRepresentation
bin1011100100110100110001…
…1110010010100011110011
31200001201022101222021012002
42321031030132102203303
53132010422400404203
643022454433524215
72452341433303031
oct271151436224363
950051271867162
1012727271106803
1140676728166a0
12151676941366b
1371423aa5cbc6
14320008b37551
151710eb260d88
hexb934c7928f3

12727271106803 has 16 divisors (see below), whose sum is σ = 14029724966400. Its totient is φ = 11449225807680.

The previous prime is 12727271106793. The next prime is 12727271106821. The reversal of 12727271106803 is 30860117272721.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12727271106803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12727271106853) 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 15 ways as a sum of consecutive naturals, for example, 2763818 + ... + 5752671.

It is an arithmetic number, because the mean of its divisors is an integer number (876857810400).

Almost surely, 212727271106803 is an apocalyptic number.

12727271106803 is a deficient number, since it is larger than the sum of its proper divisors (1302453859597).

12727271106803 is a wasteful number, since it uses less digits than its factorization.

12727271106803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517922.

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 12727271106803 in words is "twelve trillion, seven hundred twenty-seven billion, two hundred seventy-one million, one hundred six thousand, eight hundred three".

Divisors: 1 11 103 1133 1319 14509 135857 1494427 8516489 93681379 877198367 9649182037 11233248991 123565738901 1157024646073 12727271106803