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218288066417 is a prime number
BaseRepresentation
bin1100101101001011111…
…0111000111101110001
3202212102212111201100122
43023102332320331301
512034023221111132
6244140302500025
721525244643621
oct3132276707561
9685385451318
10218288066417
1184636a17183
1236380294615
131777a12c855
14a7cac96881
155a28c80912
hex32d2fb8f71

218288066417 has 2 divisors, whose sum is σ = 218288066418. Its totient is φ = 218288066416.

The previous prime is 218288066401. The next prime is 218288066489. The reversal of 218288066417 is 714660882812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182913603856 + 35374462561 = 427684^2 + 188081^2 .

It is a cyclic number.

It is not a de Polignac number, because 218288066417 - 24 = 218288066401 is a prime.

It is not a weakly prime, because it can be changed into another prime (218288065417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109144033208 + 109144033209.

It is an arithmetic number, because the mean of its divisors is an integer number (109144033209).

Almost surely, 2218288066417 is an apocalyptic number.

It is an amenable number.

218288066417 is a deficient number, since it is larger than the sum of its proper divisors (1).

218288066417 is an equidigital number, since it uses as much as digits as its factorization.

218288066417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 218288066417 in words is "two hundred eighteen billion, two hundred eighty-eight million, sixty-six thousand, four hundred seventeen".