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27680107871 = 1313731094999
BaseRepresentation
bin11001110001110111…
…001110110101011111
32122110002000011122102
4121301313032311133
5423142101422441
620414400435315
71666640014643
oct316167166537
978402004572
1027680107871
1110814776809
125446018b3b
1327c1876970
1414a82bcc23
15ac012869b
hex671dced5f

27680107871 has 16 divisors (see below), whose sum is σ = 30042600000. Its totient is φ = 25351135488.

The previous prime is 27680107867. The next prime is 27680107937. The reversal of 27680107871 is 17870108672.

It is a cyclic number.

It is not a de Polignac number, because 27680107871 - 22 = 27680107867 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680107811) 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, 5534630 + ... + 5539628.

It is an arithmetic number, because the mean of its divisors is an integer number (1877662500).

Almost surely, 227680107871 is an apocalyptic number.

27680107871 is a deficient number, since it is larger than the sum of its proper divisors (2362492129).

27680107871 is a wasteful number, since it uses less digits than its factorization.

27680107871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258.

The product of its (nonzero) digits is 263424, while the sum is 47.

The spelling of 27680107871 in words is "twenty-seven billion, six hundred eighty million, one hundred seven thousand, eight hundred seventy-one".

Divisors: 1 13 137 1781 3109 4999 40417 64987 425933 684863 5537129 8903219 15541891 202044583 2129239067 27680107871