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290965168961 is a prime number
BaseRepresentation
bin1000011101111101110…
…00000010001101000001
31000211000212022001112022
410032332320002031001
514231344040401321
6341400105211225
730010250062145
oct4167670021501
91024025261468
10290965168961
11102441285a95
1248483790b15
13215900a473c
1410123261225
15787e401dab
hex43bee02341

290965168961 has 2 divisors, whose sum is σ = 290965168962. Its totient is φ = 290965168960.

The previous prime is 290965168931. The next prime is 290965168987. The reversal of 290965168961 is 169861569092.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231438928561 + 59526240400 = 481081^2 + 243980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-290965168961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 290965168894 and 290965168903.

It is not a weakly prime, because it can be changed into another prime (290965168931) 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, 145482584480 + 145482584481.

It is an arithmetic number, because the mean of its divisors is an integer number (145482584481).

Almost surely, 2290965168961 is an apocalyptic number.

It is an amenable number.

290965168961 is a deficient number, since it is larger than the sum of its proper divisors (1).

290965168961 is an equidigital number, since it uses as much as digits as its factorization.

290965168961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12597120, while the sum is 62.

The spelling of 290965168961 in words is "two hundred ninety billion, nine hundred sixty-five million, one hundred sixty-eight thousand, nine hundred sixty-one".