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993122749 is a prime number
BaseRepresentation
bin111011001100011…
…101100110111101
32120012201212022001
4323030131212331
54013214411444
6242314022301
733416255413
oct7314354675
92505655261
10993122749
1146a656903
12238717991
1312a99cac8
1495c7b2b3
155c2c38d4
hex3b31d9bd

993122749 has 2 divisors, whose sum is σ = 993122750. Its totient is φ = 993122748.

The previous prime is 993122729. The next prime is 993122759. The reversal of 993122749 is 947221399.

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., 988788025 + 4334724 = 31445^2 + 2082^2 .

It is a cyclic number.

It is not a de Polignac number, because 993122749 - 25 = 993122717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 993122699 and 993122708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993122729) 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, 496561374 + 496561375.

It is an arithmetic number, because the mean of its divisors is an integer number (496561375).

Almost surely, 2993122749 is an apocalyptic number.

It is an amenable number.

993122749 is a deficient number, since it is larger than the sum of its proper divisors (1).

993122749 is an equidigital number, since it uses as much as digits as its factorization.

993122749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 244944, while the sum is 46.

The square root of 993122749 is about 31513.8501138785. The cubic root of 993122749 is about 997.7023076534.

The spelling of 993122749 in words is "nine hundred ninety-three million, one hundred twenty-two thousand, seven hundred forty-nine".