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839849443489 = 7289214712
BaseRepresentation
bin11000011100010101110…
…11011000000010100001
32222021210112220012210001
430032022323120002201
5102230002424142424
61441453240140001
7114451152324400
oct14161273300241
92867715805701
10839849443489
112a41a6130471
12116927a67601
1361274a96934
142c912941637
1516ca6989844
hexc38aed80a1

839849443489 has 27 divisors (see below), whose sum is σ = 988740379251. Its totient is φ = 711298637280.

The previous prime is 839849443441. The next prime is 839849443493. The reversal of 839849443489 is 984344948938.

The square root of 839849443489 is 916433.

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., 161268905889 + 678580537600 = 401583^2 + 823760^2 .

It is not a de Polignac number, because 839849443489 - 211 = 839849441441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (839849443789) 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 26 ways as a sum of consecutive naturals, for example, 570937024 + ... + 570938494.

Almost surely, 2839849443489 is an apocalyptic number.

839849443489 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

839849443489 is the 916433-rd square number.

839849443489 is the 458217-th centered octagonal number.

It is an amenable number.

839849443489 is a deficient number, since it is larger than the sum of its proper divisors (148890935762).

839849443489 is an frugal number, since it uses more digits than its factorization.

839849443489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1567 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 73.

The spelling of 839849443489 in words is "eight hundred thirty-nine billion, eight hundred forty-nine million, four hundred forty-three thousand, four hundred eighty-nine".

Divisors: 1 7 49 89 623 1471 4361 7921 10297 55447 72079 130919 388129 916433 2163841 6415031 11651791 15146887 81562537 106028209 192581849 570937759 1348072943 9436510601 17139784561 119978491927 839849443489