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993905041 is a prime number
BaseRepresentation
bin111011001111011…
…100100110010001
32120021012121101211
4323033130212101
54013414430131
6242342500121
733426024223
oct7317344621
92507177354
10993905041
11470040628
12238a34641
1312abb4bbc
1496002413
155c3ca5b1
hex3b3dc991

993905041 has 2 divisors, whose sum is σ = 993905042. Its totient is φ = 993905040.

The previous prime is 993905039. The next prime is 993905057. The reversal of 993905041 is 140509399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 643129600 + 350775441 = 25360^2 + 18729^2 .

It is a cyclic number.

It is not a de Polignac number, because 993905041 - 21 = 993905039 is a prime.

Together with 993905039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 993904985 and 993905003.

It is not a weakly prime, because it can be changed into another prime (993905021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496952520 + 496952521.

It is an arithmetic number, because the mean of its divisors is an integer number (496952521).

Almost surely, 2993905041 is an apocalyptic number.

It is an amenable number.

993905041 is a deficient number, since it is larger than the sum of its proper divisors (1).

993905041 is an equidigital number, since it uses as much as digits as its factorization.

993905041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 993905041 is about 31526.2595466065. The cubic root of 993905041 is about 997.9642053526.

The spelling of 993905041 in words is "nine hundred ninety-three million, nine hundred five thousand, forty-one".