Search a number
-
+
238024168900657 is a prime number
BaseRepresentation
bin110110000111101101010010…
…000010010000100000110001
31011012202212222120202120202121
4312013231102002100200301
5222144241444214310112
62202122443232114241
7101064451540213426
oct6607552202204061
91135685876676677
10238024168900657
11699295350813a7
1222842818695981
13a2a77765a7419
1442ac607493d4d
151c7b84ca34407
hexd87b52090831

238024168900657 has 2 divisors, whose sum is σ = 238024168900658. Its totient is φ = 238024168900656.

The previous prime is 238024168900591. The next prime is 238024168900667. The reversal of 238024168900657 is 756009861420832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237773439369216 + 250729531441 = 15419904^2 + 500729^2 .

It is a cyclic number.

It is not a de Polignac number, because 238024168900657 - 219 = 238024168376369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238024168900595 and 238024168900604.

It is not a weakly prime, because it can be changed into another prime (238024168900667) 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, 119012084450328 + 119012084450329.

It is an arithmetic number, because the mean of its divisors is an integer number (119012084450329).

It is a 1-persistent number, because it is pandigital, but 2⋅238024168900657 = 476048337801314 is not.

Almost surely, 2238024168900657 is an apocalyptic number.

It is an amenable number.

238024168900657 is a deficient number, since it is larger than the sum of its proper divisors (1).

238024168900657 is an equidigital number, since it uses as much as digits as its factorization.

238024168900657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 238024168900657 in words is "two hundred thirty-eight trillion, twenty-four billion, one hundred sixty-eight million, nine hundred thousand, six hundred fifty-seven".