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983029748009 is a prime number
BaseRepresentation
bin11100100111000010010…
…00111001000100101001
310110222101000220022011112
432103201020321010221
5112101221103414014
62031333031040105
7131010251663501
oct16234110710451
93428330808145
10983029748009
1134999a735451
1213a626810035
13719124bc80a
14358166aca01
151a8869b873e
hexe4e1239129

983029748009 has 2 divisors, whose sum is σ = 983029748010. Its totient is φ = 983029748008.

The previous prime is 983029747943. The next prime is 983029748011. The reversal of 983029748009 is 900847920389.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975906894400 + 7122853609 = 987880^2 + 84397^2 .

It is a cyclic number.

It is not a de Polignac number, because 983029748009 - 28 = 983029747753 is a prime.

Together with 983029748011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (983029748069) 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, 491514874004 + 491514874005.

It is an arithmetic number, because the mean of its divisors is an integer number (491514874005).

Almost surely, 2983029748009 is an apocalyptic number.

It is an amenable number.

983029748009 is a deficient number, since it is larger than the sum of its proper divisors (1).

983029748009 is an equidigital number, since it uses as much as digits as its factorization.

983029748009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7838208, while the sum is 59.

The spelling of 983029748009 in words is "nine hundred eighty-three billion, twenty-nine million, seven hundred forty-eight thousand, nine".