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9668592241 = 7211212772
BaseRepresentation
bin10010000000100101…
…10000001001110001
3220221211011101010221
421000102300021301
5124300124422431
64235223253041
7461411451400
oct110022601161
926854141127
109668592241
114111739500
121a59baa181
13bb11439c9
1467a135637
153b8c48111
hex2404b0271

9668592241 has 27 divisors (see below), whose sum is σ = 12372245067. Its totient is φ = 7528068240.

The previous prime is 9668592239. The next prime is 9668592253. The reversal of 9668592241 is 1422958669.

The square root of 9668592241 is 98329.

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

It can be written as a sum of positive squares in only one way, i.e., 6351293025 + 3317299216 = 79695^2 + 57596^2 .

It is not a de Polignac number, because 9668592241 - 21 = 9668592239 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9668592221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7570695 + ... + 7571971.

Almost surely, 29668592241 is an apocalyptic number.

9668592241 is the 98329-th square number.

9668592241 is the 49165-th centered octagonal number.

It is an amenable number.

9668592241 is a deficient number, since it is larger than the sum of its proper divisors (2703652826).

9668592241 is an equidigital number, since it uses as much as digits as its factorization.

9668592241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 1295 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The cubic root of 9668592241 is about 2130.3669451641.

The spelling of 9668592241 in words is "nine billion, six hundred sixty-eight million, five hundred ninety-two thousand, two hundred forty-one".

Divisors: 1 7 11 49 77 121 539 847 1277 5929 8939 14047 62573 98329 154517 688303 1081619 1630729 7571333 11415103 17938019 79905721 125566133 197318209 878962931 1381227463 9668592241