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52344444325 = 52531011812161
BaseRepresentation
bin110000101111111110…
…001101010110100101
312000002222022021122011
4300233332031112211
51324200134204300
640014031034221
73532100302255
oct605776152645
9160088267564
1052344444325
112022108a848
12a18a06b971
134c226a65a4
142767c4b965
1515655e4eba
hexc2ff8d5a5

52344444325 has 48 divisors (see below), whose sum is σ = 67186606032. Its totient is φ = 40435200000.

The previous prime is 52344444311. The next prime is 52344444329.

52344444325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 26718517764 + 25625926561 = 163458^2 + 160081^2 .

It is not a de Polignac number, because 52344444325 - 25 = 52344444293 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52344444329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24221245 + ... + 24223405.

It is an arithmetic number, because the mean of its divisors is an integer number (1399720959).

Almost surely, 252344444325 is an apocalyptic number.

It is an amenable number.

52344444325 is a deficient number, since it is larger than the sum of its proper divisors (14842161707).

52344444325 is a wasteful number, since it uses less digits than its factorization.

52344444325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2501 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The spelling of 52344444325 in words is "fifty-two billion, three hundred forty-four million, four hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 5 25 53 101 181 265 505 905 1325 2161 2525 4525 5353 9593 10805 18281 26765 47965 54025 91405 114533 133825 218261 239825 391141 457025 572665 968893 1091305 1955705 2863325 4844465 5456525 9778525 11567833 20730473 24222325 39505241 57839165 103652365 197526205 289195825 518261825 987631025 2093777773 10468888865 52344444325