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9814072369 is a prime number
BaseRepresentation
bin10010010001111011…
…01101110000110001
3221022221220112100211
421020331231300301
5130044400303434
64301501344121
7465126144613
oct111075556061
927287815324
109814072369
114186873912
121a9a868041
13c0531c51a
146915a4db3
153c68d3464
hex248f6dc31

9814072369 has 2 divisors, whose sum is σ = 9814072370. Its totient is φ = 9814072368.

The previous prime is 9814072351. The next prime is 9814072417. The reversal of 9814072369 is 9632704189.

9814072369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9348375969 + 465696400 = 96687^2 + 21580^2 .

It is a cyclic number.

It is not a de Polignac number, because 9814072369 - 219 = 9813548081 is a prime.

It is a super-2 number, since 2×98140723692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9814078369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4907036184 + 4907036185.

It is an arithmetic number, because the mean of its divisors is an integer number (4907036185).

Almost surely, 29814072369 is an apocalyptic number.

It is an amenable number.

9814072369 is a deficient number, since it is larger than the sum of its proper divisors (1).

9814072369 is an equidigital number, since it uses as much as digits as its factorization.

9814072369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 9814072369 is about 99066.0000656128. Note that the first 4 decimals coincide. The cubic root of 9814072369 is about 2140.9987745457.

The spelling of 9814072369 in words is "nine billion, eight hundred fourteen million, seventy-two thousand, three hundred sixty-nine".