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195436335041 is a prime number
BaseRepresentation
bin1011011000000011101…
…0011100111111000001
3200200110021221111002022
42312000322130333001
511200223200210131
6225440542531225
720056044303233
oct2660072347701
9620407844068
10195436335041
117597a797172
1231a63296b15
13155779b44cc
14965dd62253
15513c9ac37b
hex2d80e9cfc1

195436335041 has 2 divisors, whose sum is σ = 195436335042. Its totient is φ = 195436335040.

The previous prime is 195436335023. The next prime is 195436335109. The reversal of 195436335041 is 140533634591.

195436335041 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., 185261376400 + 10174958641 = 430420^2 + 100871^2 .

It is a cyclic number.

It is not a de Polignac number, because 195436335041 - 226 = 195369226177 is a prime.

It is a super-2 number, since 2×1954363350412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195436334983 and 195436335001.

It is not a weakly prime, because it can be changed into another prime (195436335541) 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, 97718167520 + 97718167521.

It is an arithmetic number, because the mean of its divisors is an integer number (97718167521).

Almost surely, 2195436335041 is an apocalyptic number.

It is an amenable number.

195436335041 is a deficient number, since it is larger than the sum of its proper divisors (1).

195436335041 is an equidigital number, since it uses as much as digits as its factorization.

195436335041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 195436335041 in words is "one hundred ninety-five billion, four hundred thirty-six million, three hundred thirty-five thousand, forty-one".