Search a number
-
+
97628692673 is a prime number
BaseRepresentation
bin101101011101100011…
…1111010000011000001
3100022222220121110010102
41122323013322003001
53044420421131143
6112503333412145
710024221124031
oct1327307720301
9308886543112
1097628692673
1138449940886
1216b0779a055
13928b45ba05
144a2214d8c1
152815e800b8
hex16bb1fa0c1

97628692673 has 2 divisors, whose sum is σ = 97628692674. Its totient is φ = 97628692672.

The previous prime is 97628692663. The next prime is 97628692691. The reversal of 97628692673 is 37629682679.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62106620944 + 35522071729 = 249212^2 + 188473^2 .

It is an emirp because it is prime and its reverse (37629682679) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97628692673 - 222 = 97624498369 is a prime.

It is not a weakly prime, because it can be changed into another prime (97628692663) 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, 48814346336 + 48814346337.

It is an arithmetic number, because the mean of its divisors is an integer number (48814346337).

Almost surely, 297628692673 is an apocalyptic number.

It is an amenable number.

97628692673 is a deficient number, since it is larger than the sum of its proper divisors (1).

97628692673 is an equidigital number, since it uses as much as digits as its factorization.

97628692673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82301184, while the sum is 65.

The spelling of 97628692673 in words is "ninety-seven billion, six hundred twenty-eight million, six hundred ninety-two thousand, six hundred seventy-three".