Search a number
-
+
85457854609 is a prime number
BaseRepresentation
bin100111110010110101…
…1110110000010010001
322011120201000211000021
41033211223312002101
52400004202321414
6103131522223441
76113503531111
oct1174553660221
9264521024007
1085457854609
1133273805026
121468b7b4b81
13809bab059a
1441c9981041
152352715c24
hex13e5af6091

85457854609 has 2 divisors, whose sum is σ = 85457854610. Its totient is φ = 85457854608.

The previous prime is 85457854579. The next prime is 85457854621. The reversal of 85457854609 is 90645875458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48555444609 + 36902410000 = 220353^2 + 192100^2 .

It is a cyclic number.

It is not a de Polignac number, because 85457854609 - 225 = 85424300177 is a prime.

It is not a weakly prime, because it can be changed into another prime (85457654609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42728927304 + 42728927305.

It is an arithmetic number, because the mean of its divisors is an integer number (42728927305).

Almost surely, 285457854609 is an apocalyptic number.

It is an amenable number.

85457854609 is a deficient number, since it is larger than the sum of its proper divisors (1).

85457854609 is an equidigital number, since it uses as much as digits as its factorization.

85457854609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384000, while the sum is 61.

The spelling of 85457854609 in words is "eighty-five billion, four hundred fifty-seven million, eight hundred fifty-four thousand, six hundred nine".