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8822144313 = 328911013913
BaseRepresentation
bin10000011011101011…
…10011110100111001
3211202211102100212200
420031311303310321
5121031432104223
64015225100413
7431422663233
oct101565636471
924684370780
108822144313
113817963664
121862627709
13aa797a448
145d9959253
15369798a43
hex20dd73d39

8822144313 has 12 divisors (see below), whose sum is σ = 12886279380. Its totient is φ = 5815345536.

The previous prime is 8822144297. The next prime is 8822144351. The reversal of 8822144313 is 3134412288.

It is a happy number.

8822144313 is a `hidden beast` number, since 8 + 8 + 2 + 214 + 431 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1064586384 + 7757557929 = 32628^2 + 88077^2 .

It is not a de Polignac number, because 8822144313 - 24 = 8822144297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8822144363) 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 11 ways as a sum of consecutive naturals, for example, 5506156 + ... + 5507757.

It is an arithmetic number, because the mean of its divisors is an integer number (1073856615).

Almost surely, 28822144313 is an apocalyptic number.

It is an amenable number.

8822144313 is a deficient number, since it is larger than the sum of its proper divisors (4064135067).

8822144313 is a wasteful number, since it uses less digits than its factorization.

8822144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014008 (or 11014005 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8822144313 is about 93926.2706222279. The cubic root of 8822144313 is about 2066.2905329207.

The spelling of 8822144313 in words is "eight billion, eight hundred twenty-two million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 89 267 801 11013913 33041739 99125217 980238257 2940714771 8822144313