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218200780769 is a prime number
BaseRepresentation
bin1100101100110111000…
…1111010111111100001
3202212012210021010221212
43023031301322333201
512033333344441034
6244123503555505
721523135014536
oct3131561727741
9685183233855
10218200780769
11845a171a184
1236356bbbb95
131776501b23a
14a7bd454d8d
155a2128d2ce
hex32cdc7afe1

218200780769 has 2 divisors, whose sum is σ = 218200780770. Its totient is φ = 218200780768.

The previous prime is 218200780751. The next prime is 218200780829. The reversal of 218200780769 is 967087002812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149707086400 + 68493694369 = 386920^2 + 261713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218200780769 is a prime.

It is a super-2 number, since 2×2182007807692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (218200710769) 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, 109100390384 + 109100390385.

It is an arithmetic number, because the mean of its divisors is an integer number (109100390385).

Almost surely, 2218200780769 is an apocalyptic number.

It is an amenable number.

218200780769 is a deficient number, since it is larger than the sum of its proper divisors (1).

218200780769 is an equidigital number, since it uses as much as digits as its factorization.

218200780769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 218200780769 in words is "two hundred eighteen billion, two hundred million, seven hundred eighty thousand, seven hundred sixty-nine".