Search a number
-
+
85337024933 is a prime number
BaseRepresentation
bin100111101111001111…
…0111010100110100101
322011021021200000212002
41033132132322212211
52344232234244213
6103111524335045
76110505513026
oct1173636724645
9264237600762
1085337024933
1133211586996
1214657244485
13807ca55b34
1441b78cac4d
152346ce9658
hex13de7ba9a5

85337024933 has 2 divisors, whose sum is σ = 85337024934. Its totient is φ = 85337024932.

The previous prime is 85337024869. The next prime is 85337024951. The reversal of 85337024933 is 33942073358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69327943204 + 16009081729 = 263302^2 + 126527^2 .

It is a cyclic number.

It is not a de Polignac number, because 85337024933 - 26 = 85337024869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85337024963) 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, 42668512466 + 42668512467.

It is an arithmetic number, because the mean of its divisors is an integer number (42668512467).

Almost surely, 285337024933 is an apocalyptic number.

It is an amenable number.

85337024933 is a deficient number, since it is larger than the sum of its proper divisors (1).

85337024933 is an equidigital number, since it uses as much as digits as its factorization.

85337024933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 85337024933 in words is "eighty-five billion, three hundred thirty-seven million, twenty-four thousand, nine hundred thirty-three".