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1639709313 = 311172922833
BaseRepresentation
bin110000110111011…
…1111101010000001
311020021101212022120
41201232333222001
511324231144223
6430412354453
755430204424
oct14156775201
94207355276
101639709313
11771633970
12399175a29
1320192a1c8
14117aad9bb
1598e44be3
hex61bbfa81

1639709313 has 16 divisors (see below), whose sum is σ = 2525328576. Its totient is φ = 935306240.

The previous prime is 1639709311. The next prime is 1639709333. The reversal of 1639709313 is 3139079361.

It is not a de Polignac number, because 1639709313 - 21 = 1639709311 is a prime.

It is a super-3 number, since 3×16397093133 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1639709311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460856 + ... + 1461977.

It is an arithmetic number, because the mean of its divisors is an integer number (157833036).

Almost surely, 21639709313 is an apocalyptic number.

It is an amenable number.

1639709313 is a deficient number, since it is larger than the sum of its proper divisors (885619263).

1639709313 is a wasteful number, since it uses less digits than its factorization.

1639709313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922864.

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 1639709313 is about 40493.3243016673. The cubic root of 1639709313 is about 1179.2040291746.

The spelling of 1639709313 in words is "one billion, six hundred thirty-nine million, seven hundred nine thousand, three hundred thirteen".

Divisors: 1 3 11 17 33 51 187 561 2922833 8768499 32151163 49688161 96453489 149064483 546569771 1639709313