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91693290481 = 132232932
BaseRepresentation
bin101010101100101011…
…0001001001111110001
322202200021002202222121
41111121112021033301
53000241440243411
6110042345234241
76424150052332
oct1253126111761
9282607082877
1091693290481
1135983521311
121592ba92981
13885388c900
14461bb58289
1525b9d57571
hex15595893f1

91693290481 has 9 divisors (see below), whose sum is σ = 99293447169. Its totient is φ = 84636326736.

The previous prime is 91693290457. The next prime is 91693290527. The reversal of 91693290481 is 18409239619.

The square root of 91693290481 is 302809.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64902148081 + 26791142400 = 254759^2 + 163680^2 .

It is not a de Polignac number, because 91693290481 - 223 = 91684901873 is a prime.

It is a super-2 number, since 2×916932904812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91693290181) 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 in 8 ways as a sum of consecutive naturals, for example, 3924871 + ... + 3948163.

It is an arithmetic number, because the mean of its divisors is an integer number (11032605241).

Almost surely, 291693290481 is an apocalyptic number.

91693290481 is the 302809-th square number.

91693290481 is the 151405-th centered octagonal number.

It is an amenable number.

91693290481 is a deficient number, since it is larger than the sum of its proper divisors (7600156688).

91693290481 is an frugal number, since it uses more digits than its factorization.

91693290481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46612 (or 23306 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 91693290481 in words is "ninety-one billion, six hundred ninety-three million, two hundred ninety thousand, four hundred eighty-one".

Divisors: 1 13 169 23293 302809 3936517 542563849 7053330037 91693290481