Search a number
-
+
9931784641 is a prime number
BaseRepresentation
bin10010011111111101…
…10000000111000001
3221122011101221020121
421033332300013001
5130320014102031
64321304340241
7501055530232
oct111776600701
927564357217
109931784641
114237262889
121b12174681
13c2382505c
146a3087089
153d1dd6011
hex24ffb01c1

9931784641 has 2 divisors, whose sum is σ = 9931784642. Its totient is φ = 9931784640.

The previous prime is 9931784593. The next prime is 9931784711. The reversal of 9931784641 is 1464871399.

9931784641 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., 7596865600 + 2334919041 = 87160^2 + 48321^2 .

It is a cyclic number.

It is not a de Polignac number, because 9931784641 - 217 = 9931653569 is a prime.

It is not a weakly prime, because it can be changed into another prime (9931784341) 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, 4965892320 + 4965892321.

It is an arithmetic number, because the mean of its divisors is an integer number (4965892321).

Almost surely, 29931784641 is an apocalyptic number.

It is an amenable number.

9931784641 is a deficient number, since it is larger than the sum of its proper divisors (1).

9931784641 is an equidigital number, since it uses as much as digits as its factorization.

9931784641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1306368, while the sum is 52.

The square root of 9931784641 is about 99658.3395456697. The cubic root of 9931784641 is about 2149.5246572003.

The spelling of 9931784641 in words is "nine billion, nine hundred thirty-one million, seven hundred eighty-four thousand, six hundred forty-one".