Search a number
-
+
216649546344 = 233371113026067
BaseRepresentation
bin1100100111000101010…
…0011011101001101000
3202201012200100021101000
43021301110123221220
512022144240440334
6243305531355000
721436530521310
oct3116124335150
9681180307330
10216649546344
1183976025860
1235ba35b2a60
131757882aa4a
14a6b3416440
15597eec3299
hex327151ba68

216649546344 has 128 divisors (see below), whose sum is σ = 750301516800. Its totient is φ = 56272605120.

The previous prime is 216649546343. The next prime is 216649546367. The reversal of 216649546344 is 443645946612.

216649546344 is a `hidden beast` number, since 2 + 1 + 6 + 64 + 9 + 546 + 34 + 4 = 666.

It is a super-2 number, since 2×2166495463442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (216649546343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6496402 + ... + 6529665.

It is an arithmetic number, because the mean of its divisors is an integer number (5861730600).

Almost surely, 2216649546344 is an apocalyptic number.

216649546344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216649546344 is an abundant number, since it is smaller than the sum of its proper divisors (533651970456).

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

216649546344 is a wasteful number, since it uses less digits than its factorization.

216649546344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026100 (or 13026090 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 216649546344 in words is "two hundred sixteen billion, six hundred forty-nine million, five hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 13026067 26052134 39078201 52104268 78156402 91182469 104208536 117234603 143286737 156312804 182364938 234469206 273547407 286573474 312625608 351703809 364729876 429860211 468938412 547094814 573146948 703407618 729459752 820642221 859720422 937876824 1003007159 1094189628 1146293896 1289580633 1406815236 1641284442 1719440844 2006014318 2188379256 2461926663 2579161266 2813630472 3009021477 3282568884 3438881688 3868741899 4012028636 4923853326 5158322532 6018042954 6565137768 7737483798 8024057272 9027064431 9847706652 10316645064 12036085908 15474967596 18054128862 19695413304 24072171816 27081193293 30949935192 36108257724 54162386586 72216515448 108324773172 216649546344