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185987008646081 is a prime number
BaseRepresentation
bin101010010010011101111001…
…100101010100101111000001
3220101112011222102011221112122
4222102131321211110233001
5143334202343203133311
61455321130252334025
754114055312146506
oct5222357145245701
9811464872157478
10185987008646081
1154296713789235
1218a39640a74315
137ca16659a2786
1433cdb6803b4ad
151677e3789b0db
hexa92779954bc1

185987008646081 has 2 divisors, whose sum is σ = 185987008646082. Its totient is φ = 185987008646080.

The previous prime is 185987008646057. The next prime is 185987008646111. The reversal of 185987008646081 is 180646800789581.

185987008646081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185268440482225 + 718568163856 = 13611335^2 + 847684^2 .

It is a cyclic number.

It is not a de Polignac number, because 185987008646081 - 226 = 185986941537217 is a prime.

It is a super-2 number, since 2×1859870086460812 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 185987008645996 and 185987008646014.

It is not a weakly prime, because it can be changed into another prime (185987008646381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92993504323040 + 92993504323041.

It is an arithmetic number, because the mean of its divisors is an integer number (92993504323041).

Almost surely, 2185987008646081 is an apocalyptic number.

It is an amenable number.

185987008646081 is a deficient number, since it is larger than the sum of its proper divisors (1).

185987008646081 is an equidigital number, since it uses as much as digits as its factorization.

185987008646081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 185794560, while the sum is 71.

The spelling of 185987008646081 in words is "one hundred eighty-five trillion, nine hundred eighty-seven billion, eight million, six hundred forty-six thousand, eighty-one".