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45822726401 is a prime number
BaseRepresentation
bin101010101011001111…
…110101000100000001
311101021110112200111212
4222223033311010001
51222321104221101
633014540015505
73211346514344
oct525317650401
9141243480455
1045822726401
1118484809621
128a69b31595
1344234c03ba
142309a3245b
1512d2ca41bb
hexaab3f5101

45822726401 has 2 divisors, whose sum is σ = 45822726402. Its totient is φ = 45822726400.

The previous prime is 45822726349. The next prime is 45822726451. The reversal of 45822726401 is 10462722854.

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., 28398990400 + 17423736001 = 168520^2 + 131999^2 .

It is a cyclic number.

It is not a de Polignac number, because 45822726401 - 218 = 45822464257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (45822726451) 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, 22911363200 + 22911363201.

It is an arithmetic number, because the mean of its divisors is an integer number (22911363201).

Almost surely, 245822726401 is an apocalyptic number.

It is an amenable number.

45822726401 is a deficient number, since it is larger than the sum of its proper divisors (1).

45822726401 is an equidigital number, since it uses as much as digits as its factorization.

45822726401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 45822726401 in words is "forty-five billion, eight hundred twenty-two million, seven hundred twenty-six thousand, four hundred one".