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36406162049 is a prime number
BaseRepresentation
bin100001111001111110…
…011111001010000001
310110222012121122122012
4201321332133022001
51044024434141144
624420314222305
72426115162065
oct417176371201
9113865548565
1036406162049
1114492369434
127080424995
13358264c12a
141a95183aa5
15e31240e9e
hex879f9f281

36406162049 has 2 divisors, whose sum is σ = 36406162050. Its totient is φ = 36406162048.

The previous prime is 36406162043. The next prime is 36406162081. The reversal of 36406162049 is 94026160463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25326494449 + 11079667600 = 159143^2 + 105260^2 .

It is an emirp because it is prime and its reverse (94026160463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36406162049 - 220 = 36405113473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36406161997 and 36406162015.

It is not a weakly prime, because it can be changed into another prime (36406162043) 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, 18203081024 + 18203081025.

It is an arithmetic number, because the mean of its divisors is an integer number (18203081025).

Almost surely, 236406162049 is an apocalyptic number.

It is an amenable number.

36406162049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36406162049 is an equidigital number, since it uses as much as digits as its factorization.

36406162049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 36406162049 in words is "thirty-six billion, four hundred six million, one hundred sixty-two thousand, forty-nine".