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52324642314 = 23273747238801
BaseRepresentation
bin110000101110110010…
…101010111000001010
312000001121001020101100
4300232302222320022
51324130102023224
640012042402230
73531440056410
oct605662527012
9160047036340
1052324642314
112021099524a
12a183500376
134c1b562319
1427653752b0
1515639d2ac9
hexc2ecaae0a

52324642314 has 96 divisors (see below), whose sum is σ = 135899352576. Its totient is φ = 14236300800.

The previous prime is 52324642313. The next prime is 52324642339. The reversal of 52324642314 is 41324642325.

52324642314 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 4 + 642 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (52324642313) 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 47 ways as a sum of consecutive naturals, for example, 99714 + ... + 338514.

It is an arithmetic number, because the mean of its divisors is an integer number (1415618256).

Almost surely, 252324642314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52324642314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67949676288).

52324642314 is an abundant number, since it is smaller than the sum of its proper divisors (83574710262).

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

52324642314 is a wasteful number, since it uses less digits than its factorization.

52324642314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238900 (or 238897 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 52324642314 in words is "fifty-two billion, three hundred twenty-four million, six hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 47 63 74 94 111 126 141 222 259 282 329 333 423 518 658 666 777 846 987 1554 1739 1974 2331 2961 3478 4662 5217 5922 10434 12173 15651 24346 31302 36519 73038 109557 219114 238801 477602 716403 1432806 1671607 2149209 3343214 4298418 5014821 8835637 10029642 11223647 15044463 17671274 22447294 26506911 30088926 33670941 53013822 61849459 67341882 78565529 79520733 101012823 123698918 157131058 159041466 185548377 202025646 235696587 371096754 415274939 471393174 556645131 707089761 830549878 1113290262 1245824817 1414179522 2491649634 2906924573 3737474451 5813849146 7474948902 8720773719 17441547438 26162321157 52324642314