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9725946973 is a prime number
BaseRepresentation
bin10010000111011011…
…00010110001011101
3221002211002022001021
421003231202301131
5124404320300343
64245032444141
7463006120351
oct110355426135
927084068037
109725946973
114141052a06
121a75249651
13bbcca5912
146839c5461
153bdcc70ed
hex243b62c5d

9725946973 has 2 divisors, whose sum is σ = 9725946974. Its totient is φ = 9725946972.

The previous prime is 9725946961. The next prime is 9725946977. The reversal of 9725946973 is 3796495279.

9725946973 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., 8735145444 + 990801529 = 93462^2 + 31477^2 .

It is a cyclic number.

It is not a de Polignac number, because 9725946973 - 25 = 9725946941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9725946977) 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, 4862973486 + 4862973487.

It is an arithmetic number, because the mean of its divisors is an integer number (4862973487).

Almost surely, 29725946973 is an apocalyptic number.

It is an amenable number.

9725946973 is a deficient number, since it is larger than the sum of its proper divisors (1).

9725946973 is an equidigital number, since it uses as much as digits as its factorization.

9725946973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25719120, while the sum is 61.

The square root of 9725946973 is about 98620.2158434061. The cubic root of 9725946973 is about 2134.5711356973.

The spelling of 9725946973 in words is "nine billion, seven hundred twenty-five million, nine hundred forty-six thousand, nine hundred seventy-three".