Search a number
-
+
66857255361 = 3313677393847
BaseRepresentation
bin111110010001000000…
…001100000111000001
320101120101201110201000
4332101000030013001
52043410424132421
650414103002213
74554533202561
oct762100140701
9211511643630
1066857255361
11263991a5556
1210b5a439369
1363c6304740
143343492da1
151b14772226
hexf9100c1c1

66857255361 has 64 divisors (see below), whose sum is σ = 108433561600. Its totient is φ = 40463489088.

The previous prime is 66857255327. The next prime is 66857255369. The reversal of 66857255361 is 16355275866.

It is a happy number.

66857255361 is a `hidden beast` number, since 6 + 6 + 8 + 572 + 5 + 5 + 3 + 61 = 666.

It is not a de Polignac number, because 66857255361 - 211 = 66857253313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66857255298 and 66857255307.

It is not an unprimeable number, because it can be changed into a prime (66857255369) 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 63 ways as a sum of consecutive naturals, for example, 17377140 + ... + 17380986.

It is an arithmetic number, because the mean of its divisors is an integer number (1694274400).

Almost surely, 266857255361 is an apocalyptic number.

It is an amenable number.

66857255361 is a deficient number, since it is larger than the sum of its proper divisors (41576306239).

66857255361 is a wasteful number, since it uses less digits than its factorization.

66857255361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4669 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 66857255361 in words is "sixty-six billion, eight hundred fifty-seven million, two hundred fifty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 739 871 1809 2217 2613 3847 6651 7839 9607 11541 19953 23517 28821 34623 49513 50011 86463 103869 148539 150033 257749 259389 445617 450099 643669 773247 1336851 1350297 1931007 2319741 2842933 3350737 5793021 6959223 8528799 10052211 17379063 25586397 30156633 36958129 76759191 90469899 110874387 190476511 332623161 571429533 997869483 1714288599 2476194643 5142865797 7428583929 22285751787 66857255361