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239800462482064 = 24112312113532
BaseRepresentation
bin110110100001100011100101…
…011000100001101010010000
31011110001200220112111220111211
4312201203211120201222100
5222412342321343411224
62210002451152145504
7101340004002431461
oct6641434530415220
91143050815456454
10239800462482064
116a453894538900
1222a8ab29838294
13a3a61182b46b3
144330593608d68
151cacb6123d894
hexda18e5621a90

239800462482064 has 135 divisors (see below), whose sum is σ = 527742553894857. Its totient is φ = 105474783110400.

The previous prime is 239800462482047. The next prime is 239800462482103. The reversal of 239800462482064 is 460284264008932.

The square root of 239800462482064 is 15485492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65755556640400 + 174044905841664 = 8108980^2 + 13192608^2 .

It is a super-2 number, since 2×2398004624820642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21122205412 + ... + 21122216764.

Almost surely, 2239800462482064 is an apocalyptic number.

239800462482064 is the 15485492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239800462482064

239800462482064 is an abundant number, since it is smaller than the sum of its proper divisors (287942091412793).

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

239800462482064 is an frugal number, since it uses more digits than its factorization.

239800462482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22798 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 58.

The spelling of 239800462482064 in words is "two hundred thirty-nine trillion, eight hundred billion, four hundred sixty-two million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1364 1922 1936 2728 3751 3844 5456 7502 7688 10571 11353 15004 15376 21142 22706 30008 42284 45412 60016 84568 90824 116281 124883 169136 181648 232562 249766 351943 465124 499532 703886 930248 999064 1373713 1407772 1860496 1998128 2747426 2815544 3871373 5494852 5631088 7742746 10910233 10989704 15485492 21820466 21979408 30970984 42585103 43640932 61941968 85170206 87281864 120012563 128890609 170340412 174563728 240025126 257781218 340680824 480050252 515562436 681361648 960100504 1031124872 1320138193 1417796699 1920201008 2062249744 2640276386 2835593398 3995608879 5280552772 5671186796 7991217758 10561105544 11342373592 15595763689 15982435516 21122211088 22684747184 31191527378 31964871032 43951697669 62383054756 63929742064 87903395338 123863875249 124766109512 175806790676 247727750498 249532219024 351613581352 483468674359 495455500996 703227162704 966937348718 990911001992 1362502627739 1933874697436 1981822003984 2725005255478 3867749394872 5450010510956 7735498789744 10900021021912 14987528905129 21800042043824 29975057810258 59950115620516 119900231241032 239800462482064