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36802450049 is a prime number
BaseRepresentation
bin100010010001100110…
…001101001010000001
310111222211022011120112
4202101212031022001
51100332411400144
624523512121105
72441666443511
oct422146151201
9114884264515
1036802450049
1114676029482
127171096195
133616790c81
141ad1a5d841
15e55e1e99e
hex89198d281

36802450049 has 2 divisors, whose sum is σ = 36802450050. Its totient is φ = 36802450048.

The previous prime is 36802450039. The next prime is 36802450127. The reversal of 36802450049 is 94005420863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23286760000 + 13515690049 = 152600^2 + 116257^2 .

It is a cyclic number.

It is not a de Polignac number, because 36802450049 - 28 = 36802449793 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 = 36802449988 and 36802450015.

It is not a weakly prime, because it can be changed into another prime (36802450039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18401225024 + 18401225025.

It is an arithmetic number, because the mean of its divisors is an integer number (18401225025).

Almost surely, 236802450049 is an apocalyptic number.

It is an amenable number.

36802450049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36802450049 is an equidigital number, since it uses as much as digits as its factorization.

36802450049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 36802450049 in words is "thirty-six billion, eight hundred two million, four hundred fifty thousand, forty-nine".