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205827353713 is a prime number
BaseRepresentation
bin1011111110110001000…
…1000010110001110001
3201200021110110220222201
42333230101002301301
511333013300304323
6234320014303201
720604410432302
oct2775421026161
9650243426881
10205827353713
117a3221a2303
1233a831b7b01
13165426ba277
149d67dcc7a9
155549d578ad
hex2fec442c71

205827353713 has 2 divisors, whose sum is σ = 205827353714. Its totient is φ = 205827353712.

The previous prime is 205827353707. The next prime is 205827353747. The reversal of 205827353713 is 317353728502.

205827353713 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., 118396551744 + 87430801969 = 344088^2 + 295687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205827353713 is a prime.

It is not a weakly prime, because it can be changed into another prime (205827353773) 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, 102913676856 + 102913676857.

It is an arithmetic number, because the mean of its divisors is an integer number (102913676857).

Almost surely, 2205827353713 is an apocalyptic number.

It is an amenable number.

205827353713 is a deficient number, since it is larger than the sum of its proper divisors (1).

205827353713 is an equidigital number, since it uses as much as digits as its factorization.

205827353713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 205827353713 in words is "two hundred five billion, eight hundred twenty-seven million, three hundred fifty-three thousand, seven hundred thirteen".