Search a number
-
+
2033078149 is a prime number
BaseRepresentation
bin111100100101110…
…0100111110000101
312020200121001220201
41321023210332011
513130432000044
6533423530501
7101244610354
oct17113447605
95220531821
102033078149
1195368a783
12488a59a31
1326528942b
1415402999b
15bd7487d4
hex792e4f85

2033078149 has 2 divisors, whose sum is σ = 2033078150. Its totient is φ = 2033078148.

The previous prime is 2033078119. The next prime is 2033078167. The reversal of 2033078149 is 9418703302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1387562500 + 645515649 = 37250^2 + 25407^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033078149 - 213 = 2033069957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033078119) 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, 1016539074 + 1016539075.

It is an arithmetic number, because the mean of its divisors is an integer number (1016539075).

Almost surely, 22033078149 is an apocalyptic number.

It is an amenable number.

2033078149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033078149 is an equidigital number, since it uses as much as digits as its factorization.

2033078149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2033078149 is about 45089.6678741372. The cubic root of 2033078149 is about 1266.8290806130.

The spelling of 2033078149 in words is "two billion, thirty-three million, seventy-eight thousand, one hundred forty-nine".