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218130097936 = 2459219792
BaseRepresentation
bin1100101100100110010…
…0010010011100010000
3202212000212021002100011
43023021210102130100
512033212301113221
6244112501004304
721521316145252
oct3131144223420
9685025232304
10218130097936
1184565832113
12363373b3694
13177534a098a
14a7b3cd5cd2
155a19e7a1e1
hex32c9912710

218130097936 has 45 divisors (see below), whose sum is σ = 430128991591. Its totient is φ = 107162311712.

The previous prime is 218130097919. The next prime is 218130097943. The reversal of 218130097936 is 639790031812.

The square root of 218130097936 is 467044.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 218130097936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110221395 + ... + 110223373.

Almost surely, 2218130097936 is an apocalyptic number.

218130097936 is the 467044-th square number.

It is an amenable number.

218130097936 is a deficient number, since it is larger than the sum of its proper divisors (211998893655).

218130097936 is an frugal number, since it uses more digits than its factorization.

218130097936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 218130097936 by its sum of digits (49), we get a square (10688374798864 = 32693082).

The spelling of 218130097936 in words is "two hundred eighteen billion, one hundred thirty million, ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 1979 3481 3958 6962 7916 13924 15832 27848 31664 55696 116761 233522 467044 934088 1868176 3916441 6888899 7832882 13777798 15665764 27555596 31331528 55111192 62663056 110222384 231070019 462140038 924280076 1848560152 3697120304 13633131121 27266262242 54532524484 109065048968 218130097936