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1679057289 = 33713683377
BaseRepresentation
bin110010000010100…
…0110000110001001
311100000102221121000
41210011012012021
511414314313124
6434340005213
756415515520
oct14405060611
94300387530
101679057289
11791869658
123aa390809
13209b26030
1411cdd34b7
159c6186c9
hex64146189

1679057289 has 32 divisors (see below), whose sum is σ = 3061533440. Its totient is φ = 885655296.

The previous prime is 1679057279. The next prime is 1679057321. The reversal of 1679057289 is 9827509761.

1679057289 is a `hidden beast` number, since 1 + 67 + 9 + 0 + 572 + 8 + 9 = 666.

It is not a de Polignac number, because 1679057289 - 25 = 1679057257 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1679057239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339232 + ... + 344145.

It is an arithmetic number, because the mean of its divisors is an integer number (95672920).

Almost surely, 21679057289 is an apocalyptic number.

It is an amenable number.

1679057289 is a deficient number, since it is larger than the sum of its proper divisors (1382476151).

1679057289 is a wasteful number, since it uses less digits than its factorization.

1679057289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683406 (or 683400 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1679057289 is about 40976.3015534589. The cubic root of 1679057289 is about 1188.5619917817.

The spelling of 1679057289 in words is "one billion, six hundred seventy-nine million, fifty-seven thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 683377 2050131 4783639 6150393 8883901 14350917 18451179 26651703 43052751 62187307 79955109 129158253 186561921 239865327 559685763 1679057289