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2116959749 is a prime number
BaseRepresentation
bin111111000101110…
…0011111000000101
312110112102200211122
41332023203320011
513313420202444
6550021443325
7103313601212
oct17613437005
95415380748
102116959749
11996a72213
124b0b70545
13279778508
14161222b09
15c5cb74ee
hex7e2e3e05

2116959749 has 2 divisors, whose sum is σ = 2116959750. Its totient is φ = 2116959748.

The previous prime is 2116959673. The next prime is 2116959781. The reversal of 2116959749 is 9479596112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1228502500 + 888457249 = 35050^2 + 29807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2116959749 is a prime.

It is a super-3 number, since 3×21169597493 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2116959749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2116950749) 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, 1058479874 + 1058479875.

It is an arithmetic number, because the mean of its divisors is an integer number (1058479875).

Almost surely, 22116959749 is an apocalyptic number.

It is an amenable number.

2116959749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116959749 is an equidigital number, since it uses as much as digits as its factorization.

2116959749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1224720, while the sum is 53.

The square root of 2116959749 is about 46010.4308717056. The cubic root of 2116959749 is about 1284.0172754556.

The spelling of 2116959749 in words is "two billion, one hundred sixteen million, nine hundred fifty-nine thousand, seven hundred forty-nine".