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4284406876777 is a prime number
BaseRepresentation
bin111110010110001010100…
…011001100101001101001
3120011120210200101222212221
4332112022203030221221
51030143431130024102
613040121312234041
7621352411401016
oct76261243145151
916146720358787
104284406876777
111402008a95675
1259241b23b921
1325103024c7c1
1410b51b58470d
15766a9744637
hex3e58a8cca69

4284406876777 has 2 divisors, whose sum is σ = 4284406876778. Its totient is φ = 4284406876776.

The previous prime is 4284406876751. The next prime is 4284406876811. The reversal of 4284406876777 is 7776786044824.

4284406876777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4051770435801 + 232636440976 = 2012901^2 + 482324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4284406876777 is a prime.

It is a super-2 number, since 2×42844068767772 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4284406871777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2142203438388 + 2142203438389.

It is an arithmetic number, because the mean of its divisors is an integer number (2142203438389).

Almost surely, 24284406876777 is an apocalyptic number.

It is an amenable number.

4284406876777 is a deficient number, since it is larger than the sum of its proper divisors (1).

4284406876777 is an equidigital number, since it uses as much as digits as its factorization.

4284406876777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 708083712, while the sum is 70.

The spelling of 4284406876777 in words is "four trillion, two hundred eighty-four billion, four hundred six million, eight hundred seventy-six thousand, seven hundred seventy-seven".