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113585850625 = 54132172612
BaseRepresentation
bin110100111001000111…
…1101000100100000001
3101212011222211001200111
41221302033220210001
53330110434210000
6124103002551321
711130522541312
oct1516217504401
9355158731614
10113585850625
1144198284825
121a01b808541
13a932394900
1456d752c609
152e4bd11cba
hex1a723e8901

113585850625 has 135 divisors (see below), whose sum is σ = 165988056663. Its totient is φ = 77650560000.

The previous prime is 113585850611. The next prime is 113585850667. The reversal of 113585850625 is 526058585311.

The square root of 113585850625 is 337025.

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

It can be written as a sum of positive squares in 67 ways, for example, as 4379395329 + 109206455296 = 66177^2 + 330464^2 .

It is not a de Polignac number, because 113585850625 - 29 = 113585850113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1862063095 + ... + 1862063155.

Almost surely, 2113585850625 is an apocalyptic number.

113585850625 is the 337025-th square number.

113585850625 is the 168513-rd centered octagonal number.

It is an amenable number.

113585850625 is a deficient number, since it is larger than the sum of its proper divisors (52402206038).

113585850625 is an frugal number, since it uses more digits than its factorization.

113585850625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 49.

Multiplying 113585850625 by its sum of digits (49), we get a square (5565706680625 = 23591752).

The spelling of 113585850625 in words is "one hundred thirteen billion, five hundred eighty-five million, eight hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 169 221 289 305 325 425 625 793 845 1037 1105 1445 1525 1625 2125 2873 3721 3757 3965 4225 5185 5525 7225 7625 8125 10309 10625 13481 14365 17629 18605 18785 19825 21125 25925 27625 36125 38125 48373 48841 51545 63257 67405 71825 88145 93025 93925 99125 105625 129625 138125 175253 180625 229177 241865 244205 257725 316285 337025 359125 440725 465125 469625 495625 628849 648125 822341 876265 1075369 1145885 1209325 1221025 1288625 1581425 1685125 1795625 2203625 2325625 2348125 2979301 3144245 4111705 4381325 5376845 5729425 6046625 6105125 6443125 7907125 8425625 10690433 11018125 13979797 14896505 15721225 20558525 21906625 26884225 28647125 30233125 30525625 39535625 53452165 69898985 74482525 78606125 102792625 109533125 134421125 143235625 181737361 267260825 349494925 372412625 393030625 513963125 672105625 908686805 1336304125 1747474625 1862063125 4543434025 6681520625 8737373125 22717170125 113585850625