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418111342025 = 52131775676261
BaseRepresentation
bin1100001010110010110…
…00001100010111001001
31110222012220020212120012
412011121120030113021
523322243000421100
6520024441041305
742131121524306
oct6053130142711
91428186225505
10418111342025
11151357a52763
1269048786235
1330573953a80
14163456d40ad
15ad21947135
hex615960c5c9

418111342025 has 24 divisors (see below), whose sum is σ = 591182958744. Its totient is φ = 290596838400.

The previous prime is 418111342021. The next prime is 418111342037. The reversal of 418111342025 is 520243111814.

It can be written as a sum of positive squares in 12 ways, for example, as 246242227984 + 171869114041 = 496228^2 + 414571^2 .

It is not a de Polignac number, because 418111342025 - 22 = 418111342021 is a prime.

It is a super-2 number, since 2×4181113420252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 418111341982 and 418111342000.

It is not an unprimeable number, because it can be changed into a prime (418111342021) 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 in 23 ways as a sum of consecutive naturals, for example, 37832606 + ... + 37843655.

It is an arithmetic number, because the mean of its divisors is an integer number (24632623281).

Almost surely, 2418111342025 is an apocalyptic number.

It is an amenable number.

418111342025 is a deficient number, since it is larger than the sum of its proper divisors (173071616719).

418111342025 is a wasteful number, since it uses less digits than its factorization.

418111342025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75676301 (or 75676296 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 418111342025 its reverse (520243111814), we get a palindrome (938354453839).

The spelling of 418111342025 in words is "four hundred eighteen billion, one hundred eleven million, three hundred forty-two thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 75676261 378381305 983791393 1286496437 1891906525 4918956965 6432482185 16724453681 24594784825 32162410925 83622268405 418111342025