Search a number
-
+
85410632249 is a prime number
BaseRepresentation
bin100111110001011011…
…1101101001000111001
322011110102011200002222
41033202313231020321
52344410110212444
6103123114133425
76112361252435
oct1174267551071
9264412150088
1085410632249
113324a091188
1214677a21275
138092088567
1441c35ab9c5
15234d4d8eee
hex13e2ded239

85410632249 has 2 divisors, whose sum is σ = 85410632250. Its totient is φ = 85410632248.

The previous prime is 85410632159. The next prime is 85410632269. The reversal of 85410632249 is 94223601458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84046068649 + 1364563600 = 289907^2 + 36940^2 .

It is a cyclic number.

It is not a de Polignac number, because 85410632249 - 28 = 85410631993 is a prime.

It is a super-2 number, since 2×854106322492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85410632269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42705316124 + 42705316125.

It is an arithmetic number, because the mean of its divisors is an integer number (42705316125).

Almost surely, 285410632249 is an apocalyptic number.

It is an amenable number.

85410632249 is a deficient number, since it is larger than the sum of its proper divisors (1).

85410632249 is an equidigital number, since it uses as much as digits as its factorization.

85410632249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 85410632249 in words is "eighty-five billion, four hundred ten million, six hundred thirty-two thousand, two hundred forty-nine".