Search a number
-
+
412746857417 is a prime number
BaseRepresentation
bin1100000000110011010…
…00010011101111001001
31110110101001000211010002
412000121220103233021
523230301143414132
6513340245332345
741551152254426
oct6003150235711
91413331024102
10412746857417
1114a054928004
1267bb01070b5
132cbca43a11b
1415d97074d4d
15ab0a9e5262
hex6019a13bc9

412746857417 has 2 divisors, whose sum is σ = 412746857418. Its totient is φ = 412746857416.

The previous prime is 412746857387. The next prime is 412746857423. The reversal of 412746857417 is 714758647214.

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., 408239212096 + 4507645321 = 638936^2 + 67139^2 .

It is a cyclic number.

It is not a de Polignac number, because 412746857417 - 28 = 412746857161 is a prime.

It is not a weakly prime, because it can be changed into another prime (412746857437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206373428708 + 206373428709.

It is an arithmetic number, because the mean of its divisors is an integer number (206373428709).

Almost surely, 2412746857417 is an apocalyptic number.

It is an amenable number.

412746857417 is a deficient number, since it is larger than the sum of its proper divisors (1).

412746857417 is an equidigital number, since it uses as much as digits as its factorization.

412746857417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10536960, while the sum is 56.

The spelling of 412746857417 in words is "four hundred twelve billion, seven hundred forty-six million, eight hundred fifty-seven thousand, four hundred seventeen".