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9928588361 is a prime number
BaseRepresentation
bin10010011111100101…
…00011110001001001
3221121221101112202212
421033302203301021
5130313204311421
64321112034505
7501016415516
oct111762436111
927557345685
109928588361
11423547a42a
121b11092a35
13c22c76273
146a289430d
153d19a3e5b
hex24fca3c49

9928588361 has 2 divisors, whose sum is σ = 9928588362. Its totient is φ = 9928588360.

The previous prime is 9928588343. The next prime is 9928588363. The reversal of 9928588361 is 1638858299.

9928588361 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., 7149717136 + 2778871225 = 84556^2 + 52715^2 .

It is a cyclic number.

It is not a de Polignac number, because 9928588361 - 26 = 9928588297 is a prime.

Together with 9928588363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9928588361.

It is not a weakly prime, because it can be changed into another prime (9928588363) 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, 4964294180 + 4964294181.

It is an arithmetic number, because the mean of its divisors is an integer number (4964294181).

Almost surely, 29928588361 is an apocalyptic number.

It is an amenable number.

9928588361 is a deficient number, since it is larger than the sum of its proper divisors (1).

9928588361 is an equidigital number, since it uses as much as digits as its factorization.

9928588361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7464960, while the sum is 59.

The square root of 9928588361 is about 99642.3020659398. The cubic root of 9928588361 is about 2149.2940433989.

The spelling of 9928588361 in words is "nine billion, nine hundred twenty-eight million, five hundred eighty-eight thousand, three hundred sixty-one".