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42252543333 = 32711213593719
BaseRepresentation
bin100111010110011100…
…101010010101100101
311001001122121121001100
4213112130222111211
51143013122341313
631224402350313
73024025456350
oct472634522545
9131048547040
1042252543333
1116a12506200
12823235b399
133ca494cb40
14208b805297
151174632173
hex9d672a565

42252543333 has 144 divisors (see below), whose sum is σ = 82819376640. Its totient is φ = 20198661120.

The previous prime is 42252543329. The next prime is 42252543343. The reversal of 42252543333 is 33334525224.

It is a happy number.

It is not a de Polignac number, because 42252543333 - 22 = 42252543329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252543343) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 58765348 + ... + 58766066.

It is an arithmetic number, because the mean of its divisors is an integer number (575134560).

Almost surely, 242252543333 is an apocalyptic number.

It is an amenable number.

42252543333 is a deficient number, since it is larger than the sum of its proper divisors (40566833307).

42252543333 is a wasteful number, since it uses less digits than its factorization.

42252543333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1346 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

It can be divided in two parts, 42252 and 543333, that added together give a palindrome (585585).

The spelling of 42252543333 in words is "forty-two billion, two hundred fifty-two million, five hundred forty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 593 693 719 819 847 1001 1089 1287 1573 1779 2157 2541 3003 4151 4719 5033 5337 6471 6523 7623 7709 7909 9009 9347 11011 12453 14157 15099 19569 23127 23727 28041 33033 37359 45297 45661 53963 55363 58707 65429 69381 71181 71753 84123 84799 86999 99099 102817 136983 161889 166089 196287 215259 254397 260997 308451 410949 426367 485667 498267 502271 588861 593593 608993 645777 719719 763191 782991 925353 932789 1130987 1279101 1506813 1780779 1826979 2159157 2798367 2984569 3392961 3837303 4520439 4690037 5342337 5480937 5542771 6477471 6529523 7916909 8395101 8953707 10178883 14070111 16628313 19588569 23750727 26861121 32830259 38799397 42210333 49884939 51590407 58765707 60970481 71252181 98490777 116398191 154771221 182911443 295472331 349194573 361132849 426793367 464313663 548734329 670675291 1083398547 1280380101 2012025873 3250195641 3841140303 4694727037 6036077619 14084181111 42252543333