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218162199804 = 223294718717129
BaseRepresentation
bin1100101100101101111…
…0101111110011111100
3202212010002200000211020
43023023132233303330
512033244010343204
6244120005024140
721522156046563
oct3131336576374
9685102600736
10218162199804
118458196878a
12363460b5050
131775a030573
14a7b8290bda
155a1cbbbbd9
hex32cb7afcfc

218162199804 has 96 divisors (see below), whose sum is σ = 538165555200. Its totient is φ = 68672862720.

The previous prime is 218162199797. The next prime is 218162199823. The reversal of 218162199804 is 408991261812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30598512 + ... + 30605640.

It is an arithmetic number, because the mean of its divisors is an integer number (5605891200).

Almost surely, 2218162199804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218162199804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269082777600).

218162199804 is an abundant number, since it is smaller than the sum of its proper divisors (320003355396).

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

218162199804 is a wasteful number, since it uses less digits than its factorization.

218162199804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 218162199804 in words is "two hundred eighteen billion, one hundred sixty-two million, one hundred ninety-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 1363 1871 2726 3742 4089 5452 5613 7129 7484 8178 11226 14258 16356 21387 22452 28516 42774 54259 85548 87937 108518 162777 175874 206741 217036 263811 325554 335063 351748 413482 527622 620223 651108 670126 826964 1005189 1055244 1240446 1340252 2010378 2480892 2550173 4020756 5100346 7650519 9716827 10200692 13338359 15301038 19433654 26676718 29150481 30602076 38867308 40015077 53353436 58300962 80030154 116601924 160060308 386812411 626902873 773624822 1160437233 1253805746 1547249644 1880708619 2320874466 2507611492 3761417238 4641748932 7522834476 18180183317 36360366634 54540549951 72720733268 109081099902 218162199804