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83597891689 = 1322329672
BaseRepresentation
bin100110111011011010…
…0101001100001101001
321222210002011220112201
41031312310221201221
52332202030013224
6102223200540201
76016430232514
oct1156664514151
9258702156481
1083597891689
11324a9915394
1214250921661
137b63657400
144090939d7b
1522942b5a44
hex1376d29869

83597891689 has 27 divisors (see below), whose sum is σ = 94728032343. Its totient is φ = 73735854192.

The previous prime is 83597891687. The next prime is 83597891717. The reversal of 83597891689 is 98619879538.

The square root of 83597891689 is 289133.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12366552025 + 71231339664 = 111205^2 + 266892^2 .

It is not a de Polignac number, because 83597891689 - 21 = 83597891687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83597891681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86450284 + ... + 86451250.

Almost surely, 283597891689 is an apocalyptic number.

83597891689 is the 289133-rd square number.

83597891689 is the 144567-th centered octagonal number.

It is an amenable number.

83597891689 is a deficient number, since it is larger than the sum of its proper divisors (11130140654).

83597891689 is an frugal number, since it uses more digits than its factorization.

83597891689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 73.

The spelling of 83597891689 in words is "eighty-three billion, five hundred ninety-seven million, eight hundred ninety-one thousand, six hundred eighty-nine".

Divisors: 1 13 23 169 299 529 967 3887 6877 12571 22241 89401 163423 289133 511543 935089 3758729 6650059 12156157 21507047 86450767 158030041 279591611 494662081 3634690943 6430607053 83597891689