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218698393140 = 223251214991073
BaseRepresentation
bin1100101110101101110…
…0001010011000110100
3202220111110121110210200
43023223130022120310
512040343242040030
6244245121320500
721541356445503
oct3135334123064
9686443543720
10218698393140
11848275a5777
1236475796130
1317814148626
14a82958883a
155a4ecd3d60
hex32eb70a634

218698393140 has 36 divisors (see below), whose sum is σ = 663385126404. Its totient is φ = 58319571456.

The previous prime is 218698393139. The next prime is 218698393169. The reversal of 218698393140 is 41393896812.

218698393140 is a `hidden beast` number, since 21 + 8 + 6 + 98 + 393 + 140 = 666.

218698393140 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 2 ways, for example, as 78734115216 + 139964277924 = 280596^2 + 374118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 607495357 + ... + 607495716.

Almost surely, 2218698393140 is an apocalyptic number.

218698393140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218698393140 is an abundant number, since it is smaller than the sum of its proper divisors (444686733264).

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

218698393140 is a wasteful number, since it uses less digits than its factorization.

218698393140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214991088 (or 1214991083 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 218698393140 in words is "two hundred eighteen billion, six hundred ninety-eight million, three hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1214991073 2429982146 3644973219 4859964292 6074955365 7289946438 10934919657 12149910730 14579892876 18224866095 21869839314 24299821460 36449732190 43739678628 54674598285 72899464380 109349196570 218698393140