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218160386120 = 2357374712461
BaseRepresentation
bin1100101100101101011…
…1110101000001001000
3202212002222020212220202
43023023113311001020
512033243024323440
6244115502111332
721522134454065
oct3131327650110
9685088225822
10218160386120
118458093a076
123634557b548
1317759846b91
14a7b7d3bc6c
155a1c95e615
hex32cb5f5048

218160386120 has 32 divisors (see below), whose sum is σ = 497584996920. Its totient is φ = 86068753920.

The previous prime is 218160386099. The next prime is 218160386131. The reversal of 218160386120 is 21683061812.

It can be written as a sum of positive squares in 4 ways, for example, as 213652875076 + 4507511044 = 462226^2 + 67138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37353311 + ... + 37359150.

Almost surely, 2218160386120 is an apocalyptic number.

218160386120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218160386120 is an abundant number, since it is smaller than the sum of its proper divisors (279424610800).

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

218160386120 is a wasteful number, since it uses less digits than its factorization.

218160386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74712545 (or 74712541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 218160386120 in words is "two hundred eighteen billion, one hundred sixty million, three hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 74712461 149424922 298849844 373562305 597699688 747124610 1494249220 2988498440 5454009653 10908019306 21816038612 27270048265 43632077224 54540096530 109080193060 218160386120