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85350772430393 is a prime number
BaseRepresentation
bin10011011010000001000110…
…011110001101011000111001
3102012012110021002011212201012
4103122001012132031120321
542141341340220233033
6501305334211403305
723656250464260431
oct2332010636153071
9365173232155635
1085350772430393
1125217071a46378
1296a5674bb3535
13388170a843cb2
141710ddc5dd2c1
159d0281ddc248
hex4da04678d639

85350772430393 has 2 divisors, whose sum is σ = 85350772430394. Its totient is φ = 85350772430392.

The previous prime is 85350772430327. The next prime is 85350772430431. The reversal of 85350772430393 is 39303427705358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81850326011689 + 3500446418704 = 9047117^2 + 1870948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85350772430393 is a prime.

It is a super-3 number, since 3×853507724303933 (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (85350772430303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42675386215196 + 42675386215197.

It is an arithmetic number, because the mean of its divisors is an integer number (42675386215197).

Almost surely, 285350772430393 is an apocalyptic number.

It is an amenable number.

85350772430393 is a deficient number, since it is larger than the sum of its proper divisors (1).

85350772430393 is an equidigital number, since it uses as much as digits as its factorization.

85350772430393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57153600, while the sum is 59.

The spelling of 85350772430393 in words is "eighty-five trillion, three hundred fifty billion, seven hundred seventy-two million, four hundred thirty thousand, three hundred ninety-three".