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77198314009 is a prime number
BaseRepresentation
bin100011111100101100…
…0001100101000011001
321101021002020200100011
41013321120030220121
52231100232022014
655244151441521
75402021561605
oct1077130145031
9241232220304
1077198314009
112a815487a13
1212b656862a1
13738386735b
143a44a36505
15201c54e7c4
hex11f960ca19

77198314009 has 2 divisors, whose sum is σ = 77198314010. Its totient is φ = 77198314008.

The previous prime is 77198314007. The next prime is 77198314121. The reversal of 77198314009 is 90041389177.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72699258384 + 4499055625 = 269628^2 + 67075^2 .

It is a cyclic number.

It is not a de Polignac number, because 77198314009 - 21 = 77198314007 is a prime.

Together with 77198314007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (77198314007) 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, 38599157004 + 38599157005.

It is an arithmetic number, because the mean of its divisors is an integer number (38599157005).

Almost surely, 277198314009 is an apocalyptic number.

It is an amenable number.

77198314009 is a deficient number, since it is larger than the sum of its proper divisors (1).

77198314009 is an equidigital number, since it uses as much as digits as its factorization.

77198314009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 49.

The spelling of 77198314009 in words is "seventy-seven billion, one hundred ninety-eight million, three hundred fourteen thousand, nine".