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218016346979 is a prime number
BaseRepresentation
bin1100101100001011001…
…0010111001101100011
3202211201221012221100202
43023002302113031203
512032444141100404
6244053314535415
721515435241644
oct3130262271543
9684657187322
10218016346979
11845075a9362
123630529756b
1317735a54212
14a7a2b656cb
155a0eeab21e
hex32c2c97363

218016346979 has 2 divisors, whose sum is σ = 218016346980. Its totient is φ = 218016346978.

The previous prime is 218016346967. The next prime is 218016346981. The reversal of 218016346979 is 979643610812.

218016346979 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 218016346979 - 216 = 218016281443 is a prime.

It is a super-2 number, since 2×2180163469792 (a number of 23 digits) contains 22 as substring.

Together with 218016346981, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (218016346679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109008173489 + 109008173490.

It is an arithmetic number, because the mean of its divisors is an integer number (109008173490).

Almost surely, 2218016346979 is an apocalyptic number.

218016346979 is a deficient number, since it is larger than the sum of its proper divisors (1).

218016346979 is an equidigital number, since it uses as much as digits as its factorization.

218016346979 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 218016346979 in words is "two hundred eighteen billion, sixteen million, three hundred forty-six thousand, nine hundred seventy-nine".