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204038735837 is a prime number
BaseRepresentation
bin1011111000000110101…
…0000000011111011101
3201111122210212201112012
42332001222000133131
511320332404021322
6233422322121005
720512161432026
oct2760152003735
9644583781465
10204038735837
1179594602212
12336641b0165
1316318c83bb1
149c38639c4d
155492cebae2
hex2f81a807dd

204038735837 has 2 divisors, whose sum is σ = 204038735838. Its totient is φ = 204038735836.

The previous prime is 204038735783. The next prime is 204038735851. The reversal of 204038735837 is 738537830402.

204038735837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (204038735783) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156136409881 + 47902325956 = 395141^2 + 218866^2 .

It is a cyclic number.

It is not a de Polignac number, because 204038735837 - 218 = 204038473693 is a prime.

It is a super-2 number, since 2×2040387358372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204038725837) 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, 102019367918 + 102019367919.

It is an arithmetic number, because the mean of its divisors is an integer number (102019367919).

Almost surely, 2204038735837 is an apocalyptic number.

It is an amenable number.

204038735837 is a deficient number, since it is larger than the sum of its proper divisors (1).

204038735837 is an equidigital number, since it uses as much as digits as its factorization.

204038735837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 204038735837 in words is "two hundred four billion, thirty-eight million, seven hundred thirty-five thousand, eight hundred thirty-seven".