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1968306961 is a prime number
BaseRepresentation
bin111010101010001…
…1111101100010001
312002011201100112211
41311110133230101
513012341310321
6523151352121
766530222155
oct16524375421
95064640484
101968306961
11920070175
1246b222641
13254a2b89a
141495a9065
15b7c020e1
hex7551fb11

1968306961 has 2 divisors, whose sum is σ = 1968306962. Its totient is φ = 1968306960.

The previous prime is 1968306929. The next prime is 1968307027. The reversal of 1968306961 is 1696038691.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1851666961 + 116640000 = 43031^2 + 10800^2 .

It is a cyclic number.

It is not a de Polignac number, because 1968306961 - 25 = 1968306929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1968306911) 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, 984153480 + 984153481.

It is an arithmetic number, because the mean of its divisors is an integer number (984153481).

Almost surely, 21968306961 is an apocalyptic number.

It is an amenable number.

1968306961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1968306961 is an equidigital number, since it uses as much as digits as its factorization.

1968306961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 1968306961 is about 44365.6056083989. The cubic root of 1968306961 is about 1253.2304624445.

The spelling of 1968306961 in words is "one billion, nine hundred sixty-eight million, three hundred six thousand, nine hundred sixty-one".