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200016333352242 = 232118707116019697
BaseRepresentation
bin101101011110100111101110…
…011111111010110100110010
3222020012101010011201022200100
4231132213232133322310302
5202204031422314232432
61545222122433533230
760062463125444331
oct5536475637726462
9866171104638610
10200016333352242
11588054a5842670
121a524609414216
13877b5c811c954
143756bb0d6bd18
15181cd3ce8107c
hexb5e9ee7fad32

200016333352242 has 48 divisors (see below), whose sum is σ = 472820180126112. Its totient is φ = 60604048402560.

The previous prime is 200016333352207. The next prime is 200016333352259. The reversal of 200016333352242 is 242253333610002.

It is a happy number.

200016333352242 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 63 + 3 + 3 + 352 + 242 = 666.

It is a super-2 number, since 2×2000163333522422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200016333352197 and 200016333352206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56285863 + ... + 59733834.

It is an arithmetic number, because the mean of its divisors is an integer number (9850420419294).

Almost surely, 2200016333352242 is an apocalyptic number.

200016333352242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200016333352242 is an abundant number, since it is smaller than the sum of its proper divisors (272803846773870).

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

200016333352242 is a wasteful number, since it uses less digits than its factorization.

200016333352242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116028423 (or 116028420 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 200016333352242 its reverse (242253333610002), we get a palindrome (442269666962244).

The spelling of 200016333352242 in words is "two hundred trillion, sixteen billion, three hundred thirty-three million, three hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 8707 17414 26121 52242 78363 95777 156726 191554 287331 574662 861993 1723986 116019697 232039394 348059091 696118182 1044177273 1276216667 2088354546 2552433334 3828650001 7657300002 11485950003 22971900006 1010183501779 2020367003558 3030550505337 6061101010674 9091651516011 11112018519569 18183303032022 22224037039138 33336055558707 66672111117414 100008166676121 200016333352242