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41171168257 is a prime number
BaseRepresentation
bin100110010101111111…
…100010110000000001
310221021021211001022121
4212111333202300001
51133304304341012
630525213004241
72655155104342
oct462577426001
9127237731277
1041171168257
111650806209a
127b90183681
133b618c072b
141dc7d540c9
15110e729a07
hex995fe2c01

41171168257 has 2 divisors, whose sum is σ = 41171168258. Its totient is φ = 41171168256.

The previous prime is 41171168221. The next prime is 41171168263. The reversal of 41171168257 is 75286117114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34151409601 + 7019758656 = 184801^2 + 83784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41171168257 is a prime.

It is not a weakly prime, because it can be changed into another prime (41171168557) 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, 20585584128 + 20585584129.

It is an arithmetic number, because the mean of its divisors is an integer number (20585584129).

Almost surely, 241171168257 is an apocalyptic number.

It is an amenable number.

41171168257 is a deficient number, since it is larger than the sum of its proper divisors (1).

41171168257 is an equidigital number, since it uses as much as digits as its factorization.

41171168257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 43.

The spelling of 41171168257 in words is "forty-one billion, one hundred seventy-one million, one hundred sixty-eight thousand, two hundred fifty-seven".