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40766954561 is a prime number
BaseRepresentation
bin100101111101111001…
…100101110001000001
310220020010012212100222
4211331321211301001
51131442320021221
630421133152425
72642146252634
oct457571456101
9126203185328
1040766954561
111631a979393
127a9892b715
133ac8c35228
141d8a3b3c1b
1510d8ed29ab
hex97de65c41

40766954561 has 2 divisors, whose sum is σ = 40766954562. Its totient is φ = 40766954560.

The previous prime is 40766954539. The next prime is 40766954563. The reversal of 40766954561 is 16545966704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36240356161 + 4526598400 = 190369^2 + 67280^2 .

It is a cyclic number.

It is not a de Polignac number, because 40766954561 - 222 = 40762760257 is a prime.

It is a Sophie Germain prime.

Together with 40766954563, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40766954563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20383477280 + 20383477281.

It is an arithmetic number, because the mean of its divisors is an integer number (20383477281).

Almost surely, 240766954561 is an apocalyptic number.

It is an amenable number.

40766954561 is a deficient number, since it is larger than the sum of its proper divisors (1).

40766954561 is an equidigital number, since it uses as much as digits as its factorization.

40766954561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 40766954561 in words is "forty billion, seven hundred sixty-six million, nine hundred fifty-four thousand, five hundred sixty-one".