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831304474081 = 532172032
BaseRepresentation
bin11000001100011011001…
…10111001110111100001
32221110202001000210101121
430012031212321313201
5102110002421132311
61433521311532241
7114026333304214
oct14061546716741
92843661023347
10831304474081
112a0610781484
1211514222a081
1360512685013
142c341b3777b
15169566e1b71
hexc18d9b9de1

831304474081 has 9 divisors (see below), whose sum is σ = 847334662419. Its totient is φ = 815572072536.

The previous prime is 831304474061. The next prime is 831304474087. The reversal of 831304474081 is 180474403138.

The square root of 831304474081 is 911759.

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., 599284998225 + 232019475856 = 774135^2 + 481684^2 .

It is not a de Polignac number, because 831304474081 - 215 = 831304441313 is a prime.

It is a super-2 number, since 2×8313044740812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (831304474087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48314626 + ... + 48331828.

Almost surely, 2831304474081 is an apocalyptic number.

831304474081 is the 911759-th square number.

831304474081 is the 455880-th centered octagonal number.

It is an amenable number.

831304474081 is a deficient number, since it is larger than the sum of its proper divisors (16030188338).

831304474081 is an frugal number, since it uses more digits than its factorization.

831304474081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34512 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 831304474081 in words is "eight hundred thirty-one billion, three hundred four million, four hundred seventy-four thousand, eighty-one".

Divisors: 1 53 2809 17203 911759 48323227 295943209 15684990077 831304474081