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395663745141 = 337219109314401
BaseRepresentation
bin1011100000111110110…
…01011010000001110101
31101211021111010210121000
411300133121122001311
522440304404321031
6501433155113513
740404626225400
oct5603731320165
91354244123530
10395663745141
111428889619a5
1264822ba2899
132b407166b72
141521631cd37
15a45ada23e6
hex5c1f65a075

395663745141 has 96 divisors (see below), whose sum is σ = 718463932800. Its totient is φ = 213983078400.

The previous prime is 395663745131. The next prime is 395663745163. The reversal of 395663745141 is 141547366593.

395663745141 is a `hidden beast` number, since 3 + 9 + 56 + 6 + 3 + 74 + 514 + 1 = 666.

It is not a de Polignac number, because 395663745141 - 25 = 395663745109 is a prime.

It is a super-2 number, since 2×3956637451412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395663745101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27467541 + ... + 27481941.

It is an arithmetic number, because the mean of its divisors is an integer number (7483999300).

Almost surely, 2395663745141 is an apocalyptic number.

It is an amenable number.

395663745141 is a deficient number, since it is larger than the sum of its proper divisors (322800187659).

395663745141 is a wasteful number, since it uses less digits than its factorization.

395663745141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15523 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 395663745141 in words is "three hundred ninety-five billion, six hundred sixty-three million, seven hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1093 1197 1323 2793 3279 3591 7651 8379 9837 14401 20767 22953 25137 29511 43203 53557 62301 68859 100807 129609 145369 160671 186903 206577 273619 302421 388827 436107 482013 560709 705649 820857 907263 1017583 1308321 1446039 1915333 2116947 2462571 2721789 3052749 3924963 5745999 6350841 7387713 9158247 13407331 15740293 17237997 19052523 27474741 40221993 47220879 51713991 110182051 120665979 141662637 299065567 330546153 361997937 424987911 771274357 897196701 991638459 2093458969 2313823071 2691590103 2974915377 6280376907 6941469213 8074770309 14654212783 18841130721 20824407639 43962638349 56523392163 131887915047 395663745141