Search a number
-
+
9977412749 is a prime number
BaseRepresentation
bin10010100101011001…
…10011110010001101
3221202100021002020112
421102230303302031
5130413204201444
64330014325405
7502151415623
oct112254636215
927670232215
109977412749
11425aa97967
121b254b9865
13c3010c535
146a9163513
153d5dea69e
hex252b33c8d

9977412749 has 2 divisors, whose sum is σ = 9977412750. Its totient is φ = 9977412748.

The previous prime is 9977412737. The next prime is 9977412817. The reversal of 9977412749 is 9472147799.

9977412749 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., 5562474724 + 4414938025 = 74582^2 + 66445^2 .

It is a cyclic number.

It is not a de Polignac number, because 9977412749 - 212 = 9977408653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9977412349) 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, 4988706374 + 4988706375.

It is an arithmetic number, because the mean of its divisors is an integer number (4988706375).

Almost surely, 29977412749 is an apocalyptic number.

It is an amenable number.

9977412749 is a deficient number, since it is larger than the sum of its proper divisors (1).

9977412749 is an equidigital number, since it uses as much as digits as its factorization.

9977412749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8001504, while the sum is 59.

The square root of 9977412749 is about 99886.9998998869. Note that the first 3 decimals coincide. The cubic root of 9977412749 is about 2152.8113753069.

The spelling of 9977412749 in words is "nine billion, nine hundred seventy-seven million, four hundred twelve thousand, seven hundred forty-nine".