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993037681 is a prime number
BaseRepresentation
bin111011001100001…
…000110101110001
32120012120112121101
4323030020311301
54013204201211
6242312124401
733415452406
oct7314106561
92505515541
10993037681
1146a5a89a9
12238696701
1312a97017c
1495c582ad
155c2a85c1
hex3b308d71

993037681 has 2 divisors, whose sum is σ = 993037682. Its totient is φ = 993037680.

The previous prime is 993037637. The next prime is 993037697. The reversal of 993037681 is 186730399.

993037681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 863419456 + 129618225 = 29384^2 + 11385^2 .

It is a cyclic number.

It is not a de Polignac number, because 993037681 - 27 = 993037553 is a prime.

It is a super-2 number, since 2×9930376812 = 1972247671771715522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (993037631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496518840 + 496518841.

It is an arithmetic number, because the mean of its divisors is an integer number (496518841).

Almost surely, 2993037681 is an apocalyptic number.

It is an amenable number.

993037681 is a deficient number, since it is larger than the sum of its proper divisors (1).

993037681 is an equidigital number, since it uses as much as digits as its factorization.

993037681 is an odious number, because the sum of its binary digits is odd.

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

The square root of 993037681 is about 31512.5003927013. The cubic root of 993037681 is about 997.6738200827.

The spelling of 993037681 in words is "nine hundred ninety-three million, thirty-seven thousand, six hundred eighty-one".