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218071214849 is a prime number
BaseRepresentation
bin1100101100011000001…
…1101010101100000001
3202211212202110111221002
43023012003222230001
512033102212333344
6244102554541345
721520002512405
oct3130603525401
9684782414832
10218071214849
1184535574404
123631b737855
1317744225207
14a7aa169105
155a14be844e
hex32c60eab01

218071214849 has 2 divisors, whose sum is σ = 218071214850. Its totient is φ = 218071214848.

The previous prime is 218071214773. The next prime is 218071214863. The reversal of 218071214849 is 948412170812.

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., 112295361025 + 105775853824 = 335105^2 + 325232^2 .

It is a cyclic number.

It is not a de Polignac number, because 218071214849 - 216 = 218071149313 is a prime.

It is not a weakly prime, because it can be changed into another prime (218071214899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109035607424 + 109035607425.

It is an arithmetic number, because the mean of its divisors is an integer number (109035607425).

Almost surely, 2218071214849 is an apocalyptic number.

It is an amenable number.

218071214849 is a deficient number, since it is larger than the sum of its proper divisors (1).

218071214849 is an equidigital number, since it uses as much as digits as its factorization.

218071214849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 218071214849 in words is "two hundred eighteen billion, seventy-one million, two hundred fourteen thousand, eight hundred forty-nine".