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7830049013 is a prime number
BaseRepresentation
bin1110100101011010…
…10001000011110101
3202012200121200222022
413102231101003311
5112013443032023
63332545042525
7365015214143
oct72255210365
922180550868
107830049013
113358949796
121626326445
1397a27a1c7
14543ca8593
1530c6297c8
hex1d2b510f5

7830049013 has 2 divisors, whose sum is σ = 7830049014. Its totient is φ = 7830049012.

The previous prime is 7830048973. The next prime is 7830049049. The reversal of 7830049013 is 3109400387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5998037809 + 1832011204 = 77447^2 + 42802^2 .

It is a cyclic number.

It is not a de Polignac number, because 7830049013 - 26 = 7830048949 is a prime.

It is a super-2 number, since 2×78300490132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7830049313) 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, 3915024506 + 3915024507.

It is an arithmetic number, because the mean of its divisors is an integer number (3915024507).

Almost surely, 27830049013 is an apocalyptic number.

It is an amenable number.

7830049013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7830049013 is an equidigital number, since it uses as much as digits as its factorization.

7830049013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 7830049013 is about 88487.5641714699. The cubic root of 7830049013 is about 1985.7359277228.

The spelling of 7830049013 in words is "seven billion, eight hundred thirty million, forty-nine thousand, thirteen".