Search a number
-
+
91440921629 is a prime number
BaseRepresentation
bin101010100101001001…
…1011011110000011101
322202000200020010000002
41111022103123300131
52444232333443004
6110001332144045
76414664003151
oct1251223336035
9282020203002
1091440921629
113586401a912
121587b468025
1388134cac25
1445d6423061
1525a2b0661e
hex154a4dbc1d

91440921629 has 2 divisors, whose sum is σ = 91440921630. Its totient is φ = 91440921628.

The previous prime is 91440921617. The next prime is 91440921673. The reversal of 91440921629 is 92612904419.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89462006404 + 1978915225 = 299102^2 + 44485^2 .

It is a cyclic number.

It is not a de Polignac number, because 91440921629 - 28 = 91440921373 is a prime.

It is a super-3 number, since 3×914409216293 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91440920629) 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, 45720460814 + 45720460815.

It is an arithmetic number, because the mean of its divisors is an integer number (45720460815).

Almost surely, 291440921629 is an apocalyptic number.

It is an amenable number.

91440921629 is a deficient number, since it is larger than the sum of its proper divisors (1).

91440921629 is an equidigital number, since it uses as much as digits as its factorization.

91440921629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 47.

The spelling of 91440921629 in words is "ninety-one billion, four hundred forty million, nine hundred twenty-one thousand, six hundred twenty-nine".