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2257007778589 is a prime number
BaseRepresentation
bin100000110110000000001…
…001011001101100011101
321222202201202022202002111
4200312000021121230131
5243434322442403324
64444504405354021
7322030520402134
oct40660011315435
97882652282074
102257007778589
117a0212061893
1230550b408911
13134ab14208c5
147b34dc8491b
153da9b14a794
hex20d80259b1d

2257007778589 has 2 divisors, whose sum is σ = 2257007778590. Its totient is φ = 2257007778588.

The previous prime is 2257007778551. The next prime is 2257007778601. The reversal of 2257007778589 is 9858777007522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1212795612900 + 1044212165689 = 1101270^2 + 1021867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2257007778589 is a prime.

It is a super-2 number, since 2×22570077785892 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257007478589) 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, 1128503889294 + 1128503889295.

It is an arithmetic number, because the mean of its divisors is an integer number (1128503889295).

Almost surely, 22257007778589 is an apocalyptic number.

It is an amenable number.

2257007778589 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257007778589 is an equidigital number, since it uses as much as digits as its factorization.

2257007778589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138297600, while the sum is 67.

The spelling of 2257007778589 in words is "two trillion, two hundred fifty-seven billion, seven million, seven hundred seventy-eight thousand, five hundred eighty-nine".