Search a number
-
+
73059038209 is a prime number
BaseRepresentation
bin100010000001010101…
…0000111010000000001
320222120121110200102001
41010002222013100001
52144111103210314
653321324424001
75164320402253
oct1040252072001
9228517420361
1073059038209
1128a90a16823
12121ab3a8001
136b74130131
143770dc9cd3
151d78e67674
hex1102a87401

73059038209 has 2 divisors, whose sum is σ = 73059038210. Its totient is φ = 73059038208.

The previous prime is 73059038189. The next prime is 73059038263. The reversal of 73059038209 is 90283095037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66041290225 + 7017747984 = 256985^2 + 83772^2 .

It is a cyclic number.

It is not a de Polignac number, because 73059038209 - 27 = 73059038081 is a prime.

It is a super-3 number, since 3×730590382093 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (73059038009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36529519104 + 36529519105.

It is an arithmetic number, because the mean of its divisors is an integer number (36529519105).

Almost surely, 273059038209 is an apocalyptic number.

It is an amenable number.

73059038209 is a deficient number, since it is larger than the sum of its proper divisors (1).

73059038209 is an equidigital number, since it uses as much as digits as its factorization.

73059038209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 73059038209 in words is "seventy-three billion, fifty-nine million, thirty-eight thousand, two hundred nine".