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852799243968 = 2634723500861
BaseRepresentation
bin11000110100011101100…
…10111100011011000000
310000112020001020020110000
430122032302330123000
5102433013101301333
61451434235240000
7115420105653630
oct14321662743300
93015201206400
10852799243968
112a9740a39211
121193408a9000
1362559940479
142d3c07606c0
15172b37c2713
hexc68ecbc6c0

852799243968 has 140 divisors (see below), whose sum is σ = 2889101970832. Its totient is φ = 243656916480.

The previous prime is 852799243963. The next prime is 852799244053. The reversal of 852799243968 is 869342997258.

852799243968 is a `hidden beast` number, since 8 + 527 + 9 + 9 + 2 + 4 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 852799243896 and 852799243905.

It is not an unprimeable number, because it can be changed into a prime (852799243963) 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 19 ways as a sum of consecutive naturals, for example, 11714143 + ... + 11786718.

Almost surely, 2852799243968 is an apocalyptic number.

It is an amenable number.

852799243968 is an abundant number, since it is smaller than the sum of its proper divisors (2036302726864).

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

852799243968 is a wasteful number, since it uses less digits than its factorization.

852799243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500892 (or 23500873 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 852799243968 in words is "eight hundred fifty-two billion, seven hundred ninety-nine million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 23500861 47001722 70502583 94003444 141005166 164506027 188006888 211507749 282010332 329012054 376013776 423015498 493518081 564020664 634523247 658024108 752027552 846030996 987036162 1128041328 1269046494 1316048216 1480554243 1504055104 1692061992 1903569741 1974072324 2256082656 2538092988 2632096432 2961108486 3384123984 3807139482 3948144648 4441662729 4512165312 5076185976 5264192864 5922216972 6768247968 7614278964 7896289296 8883325458 10152371952 10528385728 11844433944 13324988187 13536495936 15228557928 15792578592 17766650916 20304743904 23688867888 26649976374 30457115856 31585157184 35533301832 40609487808 47377735776 53299952748 60914231712 71066603664 94755471552 106599905496 121828463424 142133207328 213199810992 284266414656 426399621984 852799243968