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84483816921 = 3272138412
BaseRepresentation
bin100111010101110100…
…0001011110111011001
322002001211012120111100
41032223220023313121
52341010324120141
6102451125222013
76050405411100
oct1165350136731
9262054176440
1084483816921
1132913a040a9
1214459561909
137c7506361a
144136471037
1522e6e620b6
hex13aba0bdd9

84483816921 has 27 divisors (see below), whose sum is σ = 141966058143. Its totient is φ = 48272978880.

The previous prime is 84483816919. The next prime is 84483816973. The reversal of 84483816921 is 12961838448.

It is a happy number.

The square root of 84483816921 is 290661.

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

84483816921 is a `hidden beast` number, since 8 + 4 + 483 + 81 + 69 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26768559321 + 57715257600 = 163611^2 + 240240^2 .

It is not a de Polignac number, because 84483816921 - 21 = 84483816919 is a prime.

It is a super-3 number, since 3×844838169213 (a number of 34 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (84483811921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6096961 + ... + 6110801.

Almost surely, 284483816921 is an apocalyptic number.

84483816921 is the 290661-st square number.

84483816921 is the 145331-st centered octagonal number.

It is an amenable number.

84483816921 is a deficient number, since it is larger than the sum of its proper divisors (57482241222).

84483816921 is an frugal number, since it uses more digits than its factorization.

84483816921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27702 (or 13851 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 84483816921 in words is "eighty-four billion, four hundred eighty-three million, eight hundred sixteen thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 13841 41523 96887 124569 290661 678209 871983 2034627 6103881 191573281 574719843 1341012967 1724159529 4023038901 9387090769 12069116703 28161272307 84483816921