Search a number
-
+
57978082948169 is a prime number
BaseRepresentation
bin11010010111011000100110…
…00010011111010001001001
321121021122120021202002000202
431023230103002133101021
530044403103213320134
6323150432534541545
715132530641524146
oct1513542302372111
9247248507662022
1057978082948169
111752340437a94a
12660465a8078b5
1326474047183c7
1410462231393cd
156a82228cdd7e
hex34bb1309f449

57978082948169 has 2 divisors, whose sum is σ = 57978082948170. Its totient is φ = 57978082948168.

The previous prime is 57978082948069. The next prime is 57978082948217. The reversal of 57978082948169 is 96184928087975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51321105015625 + 6656977932544 = 7163875^2 + 2580112^2 .

It is a cyclic number.

It is not a de Polignac number, because 57978082948169 - 28 = 57978082947913 is a prime.

It is a super-2 number, since 2×579780829481692 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57978082948069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28989041474084 + 28989041474085.

It is an arithmetic number, because the mean of its divisors is an integer number (28989041474085).

Almost surely, 257978082948169 is an apocalyptic number.

It is an amenable number.

57978082948169 is a deficient number, since it is larger than the sum of its proper divisors (1).

57978082948169 is an equidigital number, since it uses as much as digits as its factorization.

57978082948169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4389396480, while the sum is 83.

The spelling of 57978082948169 in words is "fifty-seven trillion, nine hundred seventy-eight billion, eighty-two million, nine hundred forty-eight thousand, one hundred sixty-nine".