Search a number
-
+
556065666 = 2321319181691
BaseRepresentation
bin100001001001001…
…110001110000010
31102202100001200200
4201021032032002
52114323100131
6131102230030
716531323462
oct4111161602
91382301620
10556065666
11265980402
12136285316
138b285350
1453bcbba2
1533c402e6
hex2124e382

556065666 has 96 divisors (see below), whose sum is σ = 1375308480. Its totient is φ = 160963200.

The previous prime is 556065661. The next prime is 556065667. The reversal of 556065666 is 666560655.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (556065661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804381 + ... + 805071.

It is an arithmetic number, because the mean of its divisors is an integer number (14326130).

Almost surely, 2556065666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556065666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687654240).

556065666 is an abundant number, since it is smaller than the sum of its proper divisors (819242814).

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

556065666 is a wasteful number, since it uses less digits than its factorization.

556065666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 556065666 is about 23581.0446333490. The cubic root of 556065666 is about 822.3222225815.

The spelling of 556065666 in words is "five hundred fifty-six million, sixty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 181 234 247 342 362 494 543 691 741 1086 1382 1482 1629 2073 2223 2353 3258 3439 4146 4446 4706 6219 6878 7059 8983 10317 12438 13129 14118 17966 20634 21177 26258 26949 30951 39387 42354 44707 53898 61902 78774 80847 89414 118161 125071 134121 161694 170677 236322 250142 268242 341354 375213 402363 512031 750426 804726 1024062 1125639 1536093 1625923 2251278 2376349 3072186 3251846 4752698 4877769 7129047 9755538 14258094 14633307 21387141 29266614 30892537 42774282 61785074 92677611 185355222 278032833 556065666