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1664060013 = 327115940699
BaseRepresentation
bin110001100101111…
…1000101001101101
311021222020000012100
41203023320221231
511401444410023
6433042325313
756144163630
oct14313705155
94258200170
101664060013
11784355a10
123a5359839
132069a49c5
1411b00bc17
159b154c43
hex632f8a6d

1664060013 has 48 divisors (see below), whose sum is σ = 3047616000. Its totient is φ = 849774240.

The previous prime is 1664060009. The next prime is 1664060017. The reversal of 1664060013 is 3100604661.

1664060013 is a `hidden beast` number, since 1 + 6 + 6 + 40 + 600 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (1664060009) and next prime (1664060017).

It is not a de Polignac number, because 1664060013 - 22 = 1664060009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664060017) 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 47 ways as a sum of consecutive naturals, for example, 20538 + ... + 61236.

It is an arithmetic number, because the mean of its divisors is an integer number (63492000).

Almost surely, 21664060013 is an apocalyptic number.

It is an amenable number.

1664060013 is a deficient number, since it is larger than the sum of its proper divisors (1383555987).

1664060013 is a wasteful number, since it uses less digits than its factorization.

1664060013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40782 (or 40779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1664060013 is about 40792.8916969611. The cubic root of 1664060013 is about 1185.0126730472.

Adding to 1664060013 its reverse (3100604661), we get a palindrome (4764664674).

The spelling of 1664060013 in words is "one billion, six hundred sixty-four million, sixty thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5841 13629 40699 40887 122097 284893 366291 447689 854679 1343067 2401241 2564037 3133823 4029201 7203723 9401469 16808687 21611169 26413651 28204407 50426061 79240953 151278183 184895557 237722859 554686671 1664060013