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9797048617 is a prime number
BaseRepresentation
bin10010001111111001…
…10001100100101001
3221021202212122011111
421013330301210221
5130031021023432
64300052430321
7464531352646
oct110774614451
927252778144
109797048617
1141781a66a4
121a950183a1
13c0193b9b5
1468d212dcd
153c516e347
hex247f31929

9797048617 has 2 divisors, whose sum is σ = 9797048618. Its totient is φ = 9797048616.

The previous prime is 9797048587. The next prime is 9797048623. The reversal of 9797048617 is 7168407979.

9797048617 is digitally balanced in base 2, because in such base 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., 9028040256 + 769008361 = 95016^2 + 27731^2 .

It is a cyclic number.

It is not a de Polignac number, because 9797048617 - 215 = 9797015849 is a prime.

It is a super-3 number, since 3×97970486173 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (9797043617) 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, 4898524308 + 4898524309.

It is an arithmetic number, because the mean of its divisors is an integer number (4898524309).

Almost surely, 29797048617 is an apocalyptic number.

It is an amenable number.

9797048617 is a deficient number, since it is larger than the sum of its proper divisors (1).

9797048617 is an equidigital number, since it uses as much as digits as its factorization.

9797048617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5334336, while the sum is 58.

The square root of 9797048617 is about 98980.0415083768. The cubic root of 9797048617 is about 2139.7601135158.

The spelling of 9797048617 in words is "nine billion, seven hundred ninety-seven million, forty-eight thousand, six hundred seventeen".