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382771656961 is a prime number
BaseRepresentation
bin1011001000111101111…
…01111111100100000001
31100121000000101212022121
411210132331333210001
522232404021010321
6451502021004241
736440303254441
oct5443675774401
91317000355277
10382771656961
11138372692271
1262225553681
132a131248c15
1414752044121
159e54169441
hex591ef7f901

382771656961 has 2 divisors, whose sum is σ = 382771656962. Its totient is φ = 382771656960.

The previous prime is 382771656907. The next prime is 382771656973. The reversal of 382771656961 is 169656177283.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224879866225 + 157891790736 = 474215^2 + 397356^2 .

It is a cyclic number.

It is not a de Polignac number, because 382771656961 - 225 = 382738102529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382771656961.

It is not a weakly prime, because it can be changed into another prime (382771653961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191385828480 + 191385828481.

It is an arithmetic number, because the mean of its divisors is an integer number (191385828481).

Almost surely, 2382771656961 is an apocalyptic number.

It is an amenable number.

382771656961 is a deficient number, since it is larger than the sum of its proper divisors (1).

382771656961 is an equidigital number, since it uses as much as digits as its factorization.

382771656961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22861440, while the sum is 61.

The spelling of 382771656961 in words is "three hundred eighty-two billion, seven hundred seventy-one million, six hundred fifty-six thousand, nine hundred sixty-one".