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4406728066 = 2132172197229
BaseRepresentation
bin1000001101010100…
…10101010110000010
3102101010000222110121
410012222111112002
533011110244231
62005135250454
7214126366456
oct40652252602
912333028417
104406728066
111961535024
12a2b979a2a
13552c7a500
142db38a666
151abd17311
hex106a95582

4406728066 has 72 divisors (see below), whose sum is σ = 7675448220. Its totient is φ = 1896201216.

The previous prime is 4406728013. The next prime is 4406728069. The reversal of 4406728066 is 6608276044.

It can be written as a sum of positive squares in 18 ways, for example, as 962798841 + 3443929225 = 31029^2 + 58685^2 .

It is not an unprimeable number, because it can be changed into a prime (4406728069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19243240 + ... + 19243468.

Almost surely, 24406728066 is an apocalyptic number.

4406728066 is a deficient number, since it is larger than the sum of its proper divisors (3268720154).

4406728066 is a wasteful number, since it uses less digits than its factorization.

4406728066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 4406728066 is about 66383.1911405289. The cubic root of 4406728066 is about 1639.4773351805.

The spelling of 4406728066 in words is "four billion, four hundred six million, seven hundred twenty-eight thousand, sixty-six".

Divisors: 1 2 13 17 26 34 169 197 221 229 289 338 394 442 458 578 2561 2873 2977 3349 3757 3893 5122 5746 5954 6698 7514 7786 33293 38701 43537 45113 48841 50609 56933 66181 66586 77402 87074 90226 97682 101218 113866 132362 565981 586469 657917 740129 766921 860353 1131962 1172938 1315834 1480258 1533842 1720706 7624097 9621677 9969973 11184589 13037657 15248194 19243354 19939946 22369178 26075314 129609649 169489541 259219298 338979082 2203364033 4406728066