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289766055311 is a prime number
BaseRepresentation
bin1000011011101110110…
…01110001110110001111
31000200221021221202211122
410031313121301312033
514221420102232221
6341041112111155
726635446555035
oct4156731616617
91020837852748
10289766055311
11101986425177
12481aa0954bb
132142b830835
141004bcc2555
15780deddeab
hex4377671d8f

289766055311 has 2 divisors, whose sum is σ = 289766055312. Its totient is φ = 289766055310.

The previous prime is 289766055281. The next prime is 289766055331. The reversal of 289766055311 is 113550667982.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 289766055311 - 222 = 289761861007 is a prime.

It is a super-2 number, since 2×2897660553112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289766055331) 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, 144883027655 + 144883027656.

It is an arithmetic number, because the mean of its divisors is an integer number (144883027656).

Almost surely, 2289766055311 is an apocalyptic number.

289766055311 is a deficient number, since it is larger than the sum of its proper divisors (1).

289766055311 is an equidigital number, since it uses as much as digits as its factorization.

289766055311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 289766055311 in words is "two hundred eighty-nine billion, seven hundred sixty-six million, fifty-five thousand, three hundred eleven".