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1968118961 is a prime number
BaseRepresentation
bin111010101001111…
…0001110010110001
312002011100210122212
41311103301302301
513012314301321
6523143341505
766525510104
oct16523616261
95064323585
101968118961
1191aa519a6
1246b151895
13254994143
1414955a73b
15b7bb655b
hex754f1cb1

1968118961 has 2 divisors, whose sum is σ = 1968118962. Its totient is φ = 1968118960.

The previous prime is 1968118949. The next prime is 1968118969. The reversal of 1968118961 is 1698118691.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1967454736 + 664225 = 44356^2 + 815^2 .

It is an emirp because it is prime and its reverse (1698118691) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1968118961 - 230 = 894377137 is a prime.

1968118961 is a strobogrammatic number because it is the same when read upside-down.

It is not a weakly prime, because it can be changed into another prime (1968118969) 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, 984059480 + 984059481.

It is an arithmetic number, because the mean of its divisors is an integer number (984059481).

Almost surely, 21968118961 is an apocalyptic number.

It is an amenable number.

1968118961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1968118961 is an equidigital number, since it uses as much as digits as its factorization.

1968118961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 50.

The square root of 1968118961 is about 44363.4867993939. The cubic root of 1968118961 is about 1253.1905610075.

The spelling of 1968118961 in words is "one billion, nine hundred sixty-eight million, one hundred eighteen thousand, nine hundred sixty-one".