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182045791817 is a prime number
BaseRepresentation
bin1010100110001011000…
…1100101011001001001
3122101220002021102000222
42221202301211121021
510440312210314232
6215344121035425
716103156461511
oct2514261453111
9571802242028
10182045791817
117022911591a
122b346925b75
1314222732756
148b4d7b4841
154b07113d12
hex2a62c65649

182045791817 has 2 divisors, whose sum is σ = 182045791818. Its totient is φ = 182045791816.

The previous prime is 182045791771. The next prime is 182045791841. The reversal of 182045791817 is 718197540281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161407883536 + 20637908281 = 401756^2 + 143659^2 .

It is a cyclic number.

It is not a de Polignac number, because 182045791817 - 216 = 182045726281 is a prime.

It is a super-2 number, since 2×1820457918172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (182045731817) 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, 91022895908 + 91022895909.

It is an arithmetic number, because the mean of its divisors is an integer number (91022895909).

Almost surely, 2182045791817 is an apocalyptic number.

It is an amenable number.

182045791817 is a deficient number, since it is larger than the sum of its proper divisors (1).

182045791817 is an equidigital number, since it uses as much as digits as its factorization.

182045791817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 53.

The spelling of 182045791817 in words is "one hundred eighty-two billion, forty-five million, seven hundred ninety-one thousand, eight hundred seventeen".