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85379754289 is a prime number
BaseRepresentation
bin100111110000100000…
…1111010100100110001
322011101021001220111211
41033201001322210301
52344324204114124
6103120052240121
76111534636304
oct1174101724461
9264337056454
1085379754289
1133233711105
1214669610041
138088866a8b
1441bd450b3b
15234a939e94
hex13e107a931

85379754289 has 2 divisors, whose sum is σ = 85379754290. Its totient is φ = 85379754288.

The previous prime is 85379754277. The next prime is 85379754307. The reversal of 85379754289 is 98245797358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61792016400 + 23587737889 = 248580^2 + 153583^2 .

It is a cyclic number.

It is not a de Polignac number, because 85379754289 - 29 = 85379753777 is a prime.

It is not a weakly prime, because it can be changed into another prime (85379784289) 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, 42689877144 + 42689877145.

It is an arithmetic number, because the mean of its divisors is an integer number (42689877145).

Almost surely, 285379754289 is an apocalyptic number.

It is an amenable number.

85379754289 is a deficient number, since it is larger than the sum of its proper divisors (1).

85379754289 is an equidigital number, since it uses as much as digits as its factorization.

85379754289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 152409600, while the sum is 67.

The spelling of 85379754289 in words is "eighty-five billion, three hundred seventy-nine million, seven hundred fifty-four thousand, two hundred eighty-nine".