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839501235049 = 91929972
BaseRepresentation
bin11000011011101100010…
…11000100001101101001
32222020220021200101121011
430031312023010031221
5102223244304010144
61441354520543521
7114436423521421
oct14156613041551
92866807611534
10839501235049
112a403761a2a4
1211684b321ba1
136121a8ba039
142c8bc5bd481
1516c86106a34
hexc3762c4369

839501235049 has 9 divisors (see below), whose sum is σ = 841259513367. Its totient is φ = 837746629704.

The previous prime is 839501234987. The next prime is 839501235071. The reversal of 839501235049 is 940532105938.

The square root of 839501235049 is 916243.

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., 722627505625 + 116873729424 = 850075^2 + 341868^2 .

It is not a de Polignac number, because 839501235049 - 223 = 839492846441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 839501234993 and 839501235011.

It is not an unprimeable number, because it can be changed into a prime (839501238049) 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 8 ways as a sum of consecutive naturals, for example, 842026819 + ... + 842027815.

It is an arithmetic number, because the mean of its divisors is an integer number (93473279263).

Almost surely, 2839501235049 is an apocalyptic number.

839501235049 is the 916243-rd square number.

839501235049 is the 458122-nd centered octagonal number.

It is an amenable number.

839501235049 is a deficient number, since it is larger than the sum of its proper divisors (1758278318).

839501235049 is an frugal number, since it uses more digits than its factorization.

839501235049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 839501235049 by its sum of digits (49), we get a square (41135560517401 = 64137012).

The spelling of 839501235049 in words is "eight hundred thirty-nine billion, five hundred one million, two hundred thirty-five thousand, forty-nine".

Divisors: 1 919 997 844561 916243 994009 842027317 913494271 839501235049