Search a number
-
+
73018380949 is a prime number
BaseRepresentation
bin100010000000000111…
…1000001001010010101
320222110202222002010121
41010000033001022111
52144020201142244
653313313151541
75163314666053
oct1040017011225
9228422862117
1073018380949
1128a6aa77388
121219985b5b1
136b68896397
1437698451d3
151d755d5c84
hex11003c1295

73018380949 has 2 divisors, whose sum is σ = 73018380950. Its totient is φ = 73018380948.

The previous prime is 73018380917. The next prime is 73018380973. The reversal of 73018380949 is 94908381037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45745509924 + 27272871025 = 213882^2 + 165145^2 .

It is an emirp because it is prime and its reverse (94908381037) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73018380949 - 25 = 73018380917 is a prime.

It is a super-2 number, since 2×730183809492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73018380896 and 73018380905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73018389949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36509190474 + 36509190475.

It is an arithmetic number, because the mean of its divisors is an integer number (36509190475).

Almost surely, 273018380949 is an apocalyptic number.

It is an amenable number.

73018380949 is a deficient number, since it is larger than the sum of its proper divisors (1).

73018380949 is an equidigital number, since it uses as much as digits as its factorization.

73018380949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 73018380949 in words is "seventy-three billion, eighteen million, three hundred eighty thousand, nine hundred forty-nine".