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18948422401 is a prime number
BaseRepresentation
bin10001101001011010…
…011111101100000001
31210220112210120222021
4101221122133230001
5302301244004101
612412122241441
71240362634666
oct215132375401
953815716867
1018948422401
118043988227
123809956281
131a2c87c27c
14cba78da6d
1575d79c5a1
hex46969fb01

18948422401 has 2 divisors, whose sum is σ = 18948422402. Its totient is φ = 18948422400.

The previous prime is 18948422329. The next prime is 18948422407. The reversal of 18948422401 is 10422484981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16887262401 + 2061160000 = 129951^2 + 45400^2 .

It is a cyclic number.

It is not a de Polignac number, because 18948422401 - 213 = 18948414209 is a prime.

It is a super-2 number, since 2×189484224012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (18948422407) 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, 9474211200 + 9474211201.

It is an arithmetic number, because the mean of its divisors is an integer number (9474211201).

Almost surely, 218948422401 is an apocalyptic number.

It is an amenable number.

18948422401 is a deficient number, since it is larger than the sum of its proper divisors (1).

18948422401 is an equidigital number, since it uses as much as digits as its factorization.

18948422401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 18948422401 in words is "eighteen billion, nine hundred forty-eight million, four hundred twenty-two thousand, four hundred one".