Search a number
-
+
9892442957 is a prime number
BaseRepresentation
bin10010011011010001…
…01011001101001101
3221112102101011121012
421031220223031031
5130224431133312
64313341215005
7500100243365
oct111550531515
927472334535
109892442957
1142170318a1
121b00b61465
13c1862c057
1469bb659a5
153cd714322
hex24da2b34d

9892442957 has 2 divisors, whose sum is σ = 9892442958. Its totient is φ = 9892442956.

The previous prime is 9892442939. The next prime is 9892442969. The reversal of 9892442957 is 7592442989.

9892442957 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., 8293562761 + 1598880196 = 91069^2 + 39986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9892442957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9892442896 and 9892442905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9892442927) 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, 4946221478 + 4946221479.

It is an arithmetic number, because the mean of its divisors is an integer number (4946221479).

Almost surely, 29892442957 is an apocalyptic number.

It is an amenable number.

9892442957 is a deficient number, since it is larger than the sum of its proper divisors (1).

9892442957 is an equidigital number, since it uses as much as digits as its factorization.

9892442957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13063680, while the sum is 59.

The square root of 9892442957 is about 99460.7608909162. The cubic root of 9892442957 is about 2146.6826763007.

The spelling of 9892442957 in words is "nine billion, eight hundred ninety-two million, four hundred forty-two thousand, nine hundred fifty-seven".