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20784123761 is a prime number
BaseRepresentation
bin10011010110110101…
…001000111101110001
31222122110222212211112
4103112311020331301
5320031213430021
613314215523105
71334023065002
oct232665107561
958573885745
1020784123761
1188a6106895
124040689495
131c62c8c3ab
1410124bb1a9
15819a08d5b
hex4d6d48f71

20784123761 has 2 divisors, whose sum is σ = 20784123762. Its totient is φ = 20784123760.

The previous prime is 20784123743. The next prime is 20784123793. The reversal of 20784123761 is 16732148702.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15651261025 + 5132862736 = 125105^2 + 71644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20784123761 is a prime.

It is not a weakly prime, because it can be changed into another prime (20784120761) 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, 10392061880 + 10392061881.

It is an arithmetic number, because the mean of its divisors is an integer number (10392061881).

Almost surely, 220784123761 is an apocalyptic number.

It is an amenable number.

20784123761 is a deficient number, since it is larger than the sum of its proper divisors (1).

20784123761 is an equidigital number, since it uses as much as digits as its factorization.

20784123761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 20784123761 in words is "twenty billion, seven hundred eighty-four million, one hundred twenty-three thousand, seven hundred sixty-one".