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523242242325 = 325211375713811
BaseRepresentation
bin1111001110100111010…
…10110000000100010101
31212000120122120221211100
413213103222300010111
532033100003223300
61040212453100313
752542300450645
oct7472352600425
91760518527740
10523242242325
111919a6672130
12854a8927699
133a45946459a
141b479d6c525
15d926343700
hex79d3ab0115

523242242325 has 72 divisors (see below), whose sum is σ = 1050015803616. Its totient is φ = 246836592000.

The previous prime is 523242242291. The next prime is 523242242357.

523242242325 is a `hidden beast` number, since 5 + 2 + 324 + 2 + 2 + 4 + 2 + 325 = 666.

523242242325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523242242325 - 29 = 523242241813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 523242242325.

It is a congruent number.

It is an unprimeable number.

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 in 71 ways as a sum of consecutive naturals, for example, 2765331 + ... + 2948480.

It is an arithmetic number, because the mean of its divisors is an integer number (14583552828).

Almost surely, 2523242242325 is an apocalyptic number.

523242242325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523242242325 is an abundant number, since it is smaller than the sum of its proper divisors (526773561291).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

523242242325 is a wasteful number, since it uses less digits than its factorization.

523242242325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713875 (or 5713867 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

It can be divided in two parts, 523242 and 242325, that added together give a palindrome (765567).

The spelling of 523242242325 in words is "five hundred twenty-three billion, two hundred forty-two million, two hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 37 45 55 75 99 111 165 185 225 275 333 407 495 555 825 925 1221 1665 2035 2475 2775 3663 6105 8325 10175 18315 30525 91575 5713811 17141433 28569055 51424299 62851921 85707165 142845275 188555763 211411007 257121495 314259605 428535825 565667289 634233021 942778815 1057055035 1285607475 1571298025 1902699063 2325521077 2828336445 3171165105 4713894075 5285275175 6976563231 9513495315 11627605385 14141682225 15855825525 20929689693 34882816155 47567476575 58138026925 104648448465 174414080775 523242242325