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823355306873 = 11241165965593
BaseRepresentation
bin10111111101100111100…
…11001111001101111001
32220201020001021020222022
423332303303033031321
5101442212424304443
61430124425404225
7113325340430501
oct13766363171571
92821201236868
10823355306873
11298201673500
121136a4039675
135c84682c398
142bbca102a01
151663d8d7e68
hexbfb3ccf379

823355306873 has 12 divisors (see below), whose sum is σ = 927083808084. Its totient is φ = 730248604800.

The previous prime is 823355306869. The next prime is 823355306927. The reversal of 823355306873 is 378603553328.

It can be written as a sum of positive squares in 2 ways, for example, as 307273988329 + 516081318544 = 554323^2 + 718388^2 .

It is not a de Polignac number, because 823355306873 - 22 = 823355306869 is a prime.

It is a super-2 number, since 2×8233553068732 (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 (823355306833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82977836 + ... + 82987757.

It is an arithmetic number, because the mean of its divisors is an integer number (77256984007).

Almost surely, 2823355306873 is an apocalyptic number.

It is an amenable number.

823355306873 is a deficient number, since it is larger than the sum of its proper divisors (103728501211).

823355306873 is a wasteful number, since it uses less digits than its factorization.

823355306873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165965656 (or 165965645 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 823355306873 in words is "eight hundred twenty-three billion, three hundred fifty-five million, three hundred six thousand, eight hundred seventy-three".

Divisors: 1 11 41 121 451 4961 165965593 1825621523 6804589313 20081836753 74850482443 823355306873