Search a number
-
+
91923393585377 is a prime number
BaseRepresentation
bin10100111001101010010101…
…001110001010000011100001
3110001110210100100110001101202
4110321222111032022003201
544022033102224213002
6523301005105210545
725235150246301224
oct2471522516120341
9401423310401352
1091923393585377
1127320546271882
12a387452630a55
133c3a453508183
14189b18a3b55bb
15a96212277502
hex539a9538a0e1

91923393585377 has 2 divisors, whose sum is σ = 91923393585378. Its totient is φ = 91923393585376.

The previous prime is 91923393585323. The next prime is 91923393585421. The reversal of 91923393585377 is 77358539332919.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73961995213456 + 17961398371921 = 8600116^2 + 4238089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-91923393585377 is a prime.

It is not a weakly prime, because it can be changed into another prime (91923393585677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45961696792688 + 45961696792689.

It is an arithmetic number, because the mean of its divisors is an integer number (45961696792689).

Almost surely, 291923393585377 is an apocalyptic number.

It is an amenable number.

91923393585377 is a deficient number, since it is larger than the sum of its proper divisors (1).

91923393585377 is an equidigital number, since it uses as much as digits as its factorization.

91923393585377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1157360400, while the sum is 74.

The spelling of 91923393585377 in words is "ninety-one trillion, nine hundred twenty-three billion, three hundred ninety-three million, five hundred eighty-five thousand, three hundred seventy-seven".