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205655182586041 is a prime number
BaseRepresentation
bin101110110000101011010100…
…000110101011000010111001
3222222011102222021101001121211
4232300223110012223002321
5203423423303220223131
62005220404150403121
761214045066214016
oct5660532406530271
9888142867331554
10205655182586041
115a589967172011
121b0954286604a1
138a9a27b679c06
1438ada9a3b070d
1518b986ae945b1
hexbb0ad41ab0b9

205655182586041 has 2 divisors, whose sum is σ = 205655182586042. Its totient is φ = 205655182586040.

The previous prime is 205655182585997. The next prime is 205655182586089. The reversal of 205655182586041 is 140685281556502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200008043456400 + 5647139129641 = 14142420^2 + 2376371^2 .

It is a cyclic number.

It is not a de Polignac number, because 205655182586041 - 211 = 205655182583993 is a prime.

It is a super-2 number, since 2×2056551825860412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205655182586141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102827591293020 + 102827591293021.

It is an arithmetic number, because the mean of its divisors is an integer number (102827591293021).

Almost surely, 2205655182586041 is an apocalyptic number.

It is an amenable number.

205655182586041 is a deficient number, since it is larger than the sum of its proper divisors (1).

205655182586041 is an equidigital number, since it uses as much as digits as its factorization.

205655182586041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040000, while the sum is 58.

The spelling of 205655182586041 in words is "two hundred five trillion, six hundred fifty-five billion, one hundred eighty-two million, five hundred eighty-six thousand, forty-one".