Search a number
-
+
9979164149 is a prime number
BaseRepresentation
bin10010100101100110…
…11111010111110101
3221202110120001201012
421102303133113311
5130414131223044
64330120042005
7502202332013
oct112263372765
927673501635
109979164149
114260a837a9
121b26003305
13c305a3776
146a949b8b3
153d614459e
hex252cdf5f5

9979164149 has 2 divisors, whose sum is σ = 9979164150. Its totient is φ = 9979164148.

The previous prime is 9979164137. The next prime is 9979164193. The reversal of 9979164149 is 9414619799.

9979164149 is digitally balanced in base 3, 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., 7599480625 + 2379683524 = 87175^2 + 48782^2 .

It is a cyclic number.

It is not a de Polignac number, because 9979164149 - 220 = 9978115573 is a prime.

It is a super-2 number, since 2×99791641492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9979164109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4989582074 + 4989582075.

It is an arithmetic number, because the mean of its divisors is an integer number (4989582075).

Almost surely, 29979164149 is an apocalyptic number.

It is an amenable number.

9979164149 is a deficient number, since it is larger than the sum of its proper divisors (1).

9979164149 is an equidigital number, since it uses as much as digits as its factorization.

9979164149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4408992, while the sum is 59.

The square root of 9979164149 is about 99895.7664218059. The cubic root of 9979164149 is about 2152.9373335870.

The spelling of 9979164149 in words is "nine billion, nine hundred seventy-nine million, one hundred sixty-four thousand, one hundred forty-nine".