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982000000289 = 71165919352423
BaseRepresentation
bin11100100101000111100…
…00101101110100100001
310110212201021020200212002
432102203300231310201
5112042114000002124
62031042524013345
7130642606164530
oct16224360556441
93425637220762
10982000000289
11349511443780
1213a399991255
13717aa068439
1435759a1a317
151a8263ad0ae
hexe4a3c2dd21

982000000289 has 16 divisors (see below), whose sum is σ = 1226169584640. Its totient is φ = 764033620560.

The previous prime is 982000000273. The next prime is 982000000307.

982000000289 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 982000000289 - 24 = 982000000273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (982000006289) 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 15 ways as a sum of consecutive naturals, for example, 9625469 + ... + 9726954.

It is an arithmetic number, because the mean of its divisors is an integer number (76635599040).

Almost surely, 2982000000289 is an apocalyptic number.

It is an amenable number.

982000000289 is a deficient number, since it is larger than the sum of its proper divisors (244169584351).

982000000289 is a wasteful number, since it uses less digits than its factorization.

982000000289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19353100.

The product of its (nonzero) digits is 20736, while the sum is 38.

It can be divided in two parts, 982000000 and 289, that added together give a palindrome (982000289).

The spelling of 982000000289 in words is "nine hundred eighty-two billion, two hundred eighty-nine", and thus it is an aban number.

Divisors: 1 7 11 77 659 4613 7249 50743 19352423 135466961 212876653 1490136571 12753246757 89272727299 140285714327 982000000289