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6313983077 is a prime number
BaseRepresentation
bin1011110000101011…
…11011110001100101
3121022000212120111002
411320111323301211
5100412334424302
62522310323045
7312315653633
oct57025736145
917260776432
106313983077
112750095a36
121282659485
1379815137c
1443c7c2353
1526e4a9c02
hex17857bc65

6313983077 has 2 divisors, whose sum is σ = 6313983078. Its totient is φ = 6313983076.

The previous prime is 6313983041. The next prime is 6313983083. The reversal of 6313983077 is 7703893136.

6313983077 is digitally balanced in base 3, 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., 6234523681 + 79459396 = 78959^2 + 8914^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6313983077 is a prime.

It is a super-4 number, since 4×63139830774 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6333983077) 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, 3156991538 + 3156991539.

It is an arithmetic number, because the mean of its divisors is an integer number (3156991539).

Almost surely, 26313983077 is an apocalyptic number.

It is an amenable number.

6313983077 is a deficient number, since it is larger than the sum of its proper divisors (1).

6313983077 is an equidigital number, since it uses as much as digits as its factorization.

6313983077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 47.

The square root of 6313983077 is about 79460.5756145776. The cubic root of 6313983077 is about 1848.2801720235.

The spelling of 6313983077 in words is "six billion, three hundred thirteen million, nine hundred eighty-three thousand, seventy-seven".