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218542020769 is a prime number
BaseRepresentation
bin1100101110001000011…
…1101001100010100001
3202220002120100221020101
43023202013221202201
512040033224131034
6244221413542401
721534450345412
oct3134207514241
9686076327211
10218542020769
1184757300906
1236431344a01
13177ba9280b7
14a8128c1809
155a411e6514
hex32e21e98a1

218542020769 has 2 divisors, whose sum is σ = 218542020770. Its totient is φ = 218542020768.

The previous prime is 218542020757. The next prime is 218542020797. The reversal of 218542020769 is 967020245812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176999428369 + 41542592400 = 420713^2 + 203820^2 .

It is a cyclic number.

It is not a de Polignac number, because 218542020769 - 233 = 209952086177 is a prime.

It is a super-2 number, since 2×2185420207692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (218542030769) 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, 109271010384 + 109271010385.

It is an arithmetic number, because the mean of its divisors is an integer number (109271010385).

Almost surely, 2218542020769 is an apocalyptic number.

It is an amenable number.

218542020769 is a deficient number, since it is larger than the sum of its proper divisors (1).

218542020769 is an equidigital number, since it uses as much as digits as its factorization.

218542020769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 218542020769 in words is "two hundred eighteen billion, five hundred forty-two million, twenty thousand, seven hundred sixty-nine".