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1427987673759 = 317731492574217
BaseRepresentation
bin10100110001111010101…
…100101011001010011111
312001111212220201221012110
4110301322230223022133
5141344004321030014
63012001455405103
7205111602645363
oct24617254531237
95044786657173
101427987673759
115006738a5889
121b0906223793
13a48740ca28a
144d1876ab2a3
152722a28dd59
hex14c7ab2b29f

1427987673759 has 32 divisors (see below), whose sum is σ = 2057315025600. Its totient is φ = 877787062272.

The previous prime is 1427987673733. The next prime is 1427987673769. The reversal of 1427987673759 is 9573767897241.

It is not a de Polignac number, because 1427987673759 - 25 = 1427987673727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427987673769) 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 31 ways as a sum of consecutive naturals, for example, 732382 + ... + 1841835.

It is an arithmetic number, because the mean of its divisors is an integer number (64291094550).

Almost surely, 21427987673759 is an apocalyptic number.

1427987673759 is a deficient number, since it is larger than the sum of its proper divisors (629327351841).

1427987673759 is a wasteful number, since it uses less digits than its factorization.

1427987673759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574459.

The product of its digits is 1120210560, while the sum is 75.

The spelling of 1427987673759 in words is "one trillion, four hundred twenty-seven billion, nine hundred eighty-seven million, six hundred seventy-three thousand, seven hundred fifty-nine".

Divisors: 1 3 17 51 73 149 219 447 1241 2533 3723 7599 10877 32631 184909 554727 2574217 7722651 43761689 131285067 187917841 383558333 563753523 1150674999 3194603297 6520491661 9583809891 19561474983 27999758309 83999274927 475995891253 1427987673759