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218422071890 = 251121710618477
BaseRepresentation
bin1100101101101011111…
…0000101001001010010
3202212210012122220022022
43023122332011021102
512034312022300030
6244201451011442
721531462656261
oct3133276051122
9685705586268
10218422071890
11846a5624500
12363b9139b82
131779bb1b529
14a8009ba5d8
155a35900de5
hex32daf85252

218422071890 has 48 divisors (see below), whose sum is σ = 457571453976. Its totient is φ = 74754071040.

The previous prime is 218422071869. The next prime is 218422071947. The reversal of 218422071890 is 98170224812.

218422071890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211628520961 + 6793550929 = 460031^2 + 82423^2 .

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5288669 + ... + 5329808.

Almost surely, 2218422071890 is an apocalyptic number.

218422071890 is an abundant number, since it is smaller than the sum of its proper divisors (239149382086).

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

218422071890 is a wasteful number, since it uses less digits than its factorization.

218422071890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618523 (or 10618512 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 218422071890 in words is "two hundred eighteen billion, four hundred twenty-two million, seventy-one thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 20570 10618477 21236954 53092385 106184770 116803247 180514109 233606494 361028218 584016235 902570545 1168032470 1284835717 1805141090 1985655199 2569671434 3971310398 6424178585 9928275995 12848357170 19856551990 21842207189 43684414378 109211035945 218422071890