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18558000061 is a prime number
BaseRepresentation
bin10001010010001001…
…001001101110111101
31202220100011002012121
4101102021021232331
5301001322000221
612305254202541
71224612253306
oct212211115675
952810132177
1018558000061
117963564137
12371b053451
131999a12233
14c8099d7ad
1573937ba41
hex452249bbd

18558000061 has 2 divisors, whose sum is σ = 18558000062. Its totient is φ = 18558000060.

The previous prime is 18558000059. The next prime is 18558000089. The reversal of 18558000061 is 16000085581.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11216080836 + 7341919225 = 105906^2 + 85685^2 .

It is a cyclic number.

It is not a de Polignac number, because 18558000061 - 21 = 18558000059 is a prime.

Together with 18558000059, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 18557999990 and 18558000026.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18558000011) 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, 9279000030 + 9279000031.

It is an arithmetic number, because the mean of its divisors is an integer number (9279000031).

Almost surely, 218558000061 is an apocalyptic number.

It is an amenable number.

18558000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

18558000061 is an equidigital number, since it uses as much as digits as its factorization.

18558000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 18558000061 in words is "eighteen billion, five hundred fifty-eight million, sixty-one", and thus it is an aban number.