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9862540049 is a prime number
BaseRepresentation
bin10010010111101101…
…00110101100010001
3221110100002221112002
421023312212230101
5130144302240144
64310352243345
7466255131035
oct111366465421
927410087462
109862540049
11420116834a
121ab2b40555
13c1238c31b
14697bc01c5
153caca914e
hex24bda6b11

9862540049 has 2 divisors, whose sum is σ = 9862540050. Its totient is φ = 9862540048.

The previous prime is 9862540003. The next prime is 9862540067. The reversal of 9862540049 is 9400452689.

9862540049 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9750180049 + 112360000 = 98743^2 + 10600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9862540049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9862539985 and 9862540012.

It is not a weakly prime, because it can be changed into another prime (9862548049) 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, 4931270024 + 4931270025.

It is an arithmetic number, because the mean of its divisors is an integer number (4931270025).

Almost surely, 29862540049 is an apocalyptic number.

It is an amenable number.

9862540049 is a deficient number, since it is larger than the sum of its proper divisors (1).

9862540049 is an equidigital number, since it uses as much as digits as its factorization.

9862540049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 9862540049 is about 99310.3219660474. The cubic root of 9862540049 is about 2144.5174934544.

The spelling of 9862540049 in words is "nine billion, eight hundred sixty-two million, five hundred forty thousand, forty-nine".