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61738618061 is a prime number
BaseRepresentation
bin111001011111111010…
…001000110011001101
312220100200002202100202
4321133322020303031
52002420041234221
644210132503245
74313640411011
oct713772106315
9186320082322
1061738618061
112420192759a
12bb7017ab25
135a8ba08283
142db974c541
1519151d3d0b
hexe5fe88ccd

61738618061 has 2 divisors, whose sum is σ = 61738618062. Its totient is φ = 61738618060.

The previous prime is 61738618033. The next prime is 61738618121. The reversal of 61738618061 is 16081683716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37556502025 + 24182116036 = 193795^2 + 155506^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61738618061 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61738617997 and 61738618015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61738618661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30869309030 + 30869309031.

It is an arithmetic number, because the mean of its divisors is an integer number (30869309031).

Almost surely, 261738618061 is an apocalyptic number.

It is an amenable number.

61738618061 is a deficient number, since it is larger than the sum of its proper divisors (1).

61738618061 is an equidigital number, since it uses as much as digits as its factorization.

61738618061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 61738618061 in words is "sixty-one billion, seven hundred thirty-eight million, six hundred eighteen thousand, sixty-one".