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91966754881 is a prime number
BaseRepresentation
bin101010110100110100…
…1010101000001000001
322210101022200012121201
41111221221111001001
53001321442124011
6110125434421201
76434010342541
oct1255151250101
9283338605551
1091966754881
1136003921151
12159a7591801
138898429571
1446461c1321
1525d3d73cc1
hex1569a55041

91966754881 has 2 divisors, whose sum is σ = 91966754882. Its totient is φ = 91966754880.

The previous prime is 91966754879. The next prime is 91966754909. The reversal of 91966754881 is 18845766919.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91712671281 + 254083600 = 302841^2 + 15940^2 .

It is a cyclic number.

It is not a de Polignac number, because 91966754881 - 21 = 91966754879 is a prime.

It is a super-3 number, since 3×919667548813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 91966754879, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (91966754851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45983377440 + 45983377441.

It is an arithmetic number, because the mean of its divisors is an integer number (45983377441).

Almost surely, 291966754881 is an apocalyptic number.

It is an amenable number.

91966754881 is a deficient number, since it is larger than the sum of its proper divisors (1).

91966754881 is an equidigital number, since it uses as much as digits as its factorization.

91966754881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26127360, while the sum is 64.

The spelling of 91966754881 in words is "ninety-one billion, nine hundred sixty-six million, seven hundred fifty-four thousand, eight hundred eighty-one".