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9966277957 is a prime number
BaseRepresentation
bin10010100100000100…
…10101010101000101
3221201120022101011211
421102002111111011
5130402331343312
64324535531421
7501654651646
oct112202252505
927646271154
109966277957
114254782159
121b21829b71
13c2aa112bc
146a78a56cd
153d4e4b3a7
hex252095545

9966277957 has 2 divisors, whose sum is σ = 9966277958. Its totient is φ = 9966277956.

The previous prime is 9966277877. The next prime is 9966277969. The reversal of 9966277957 is 7597726699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5357361636 + 4608916321 = 73194^2 + 67889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9966277957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9966277892 and 9966277901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9966277757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983138978 + 4983138979.

It is an arithmetic number, because the mean of its divisors is an integer number (4983138979).

Almost surely, 29966277957 is an apocalyptic number.

It is an amenable number.

9966277957 is a deficient number, since it is larger than the sum of its proper divisors (1).

9966277957 is an equidigital number, since it uses as much as digits as its factorization.

9966277957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90016920, while the sum is 67.

The square root of 9966277957 is about 99831.2473977962. The cubic root of 9966277957 is about 2152.0102314210.

The spelling of 9966277957 in words is "nine billion, nine hundred sixty-six million, two hundred seventy-seven thousand, nine hundred fifty-seven".