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4135232993 is a prime number
BaseRepresentation
bin1111011001111010…
…1010010111100001
3101200012011121020112
43312132222113201
531432104423433
61522200221105
7204321620603
oct36636522741
911605147215
104135232993
11183225a831
12974a6a795
1350b950038
142b32b7173
15193089348
hexf67aa5e1

4135232993 has 2 divisors, whose sum is σ = 4135232994. Its totient is φ = 4135232992.

The previous prime is 4135232957. The next prime is 4135233023. The reversal of 4135232993 is 3992325314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4040890624 + 94342369 = 63568^2 + 9713^2 .

It is a cyclic number.

It is not a de Polignac number, because 4135232993 - 212 = 4135228897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135232993.

It is not a weakly prime, because it can be changed into another prime (4135232923) 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, 2067616496 + 2067616497.

It is an arithmetic number, because the mean of its divisors is an integer number (2067616497).

Almost surely, 24135232993 is an apocalyptic number.

It is an amenable number.

4135232993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135232993 is an equidigital number, since it uses as much as digits as its factorization.

4135232993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 41.

The square root of 4135232993 is about 64305.7772910024. Note that the first 3 decimals coincide. The cubic root of 4135232993 is about 1605.0922386278.

The spelling of 4135232993 in words is "four billion, one hundred thirty-five million, two hundred thirty-two thousand, nine hundred ninety-three".