Search a number
-
+
666651021169 = 741928772
BaseRepresentation
bin10011011001101110111…
…11110100111101110001
32100201202001111202001211
421230313133310331301
541410300130134134
61230131045000121
766110143120000
oct11546737647561
92321661452054
10666651021169
112377a8138271
12a92500b3041
134ab32304183
14243a21b0c37
151251b453764
hex9b377f4f71

666651021169 has 45 divisors (see below), whose sum is σ = 821736840267. Its totient is φ = 540723414672.

The previous prime is 666651021149. The next prime is 666651021187. The reversal of 666651021169 is 961120156666.

It is a happy number.

The square root of 666651021169 is 816487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 561682797025 + 104968224144 = 749455^2 + 323988^2 .

It is not a de Polignac number, because 666651021169 - 231 = 664503537521 is a prime.

It is a super-2 number, since 2×6666510211692 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (666651021139) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 760148959 + ... + 760149835.

Almost surely, 2666651021169 is an apocalyptic number.

666651021169 is the 816487-th square number.

666651021169 is the 408244-th centered octagonal number.

It is an amenable number.

666651021169 is a deficient number, since it is larger than the sum of its proper divisors (155085819098).

666651021169 is an frugal number, since it uses more digits than its factorization.

666651021169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 666651021169 by its sum of digits (49), we get a square (32665900037281 = 57154092).

666651021169 divided by its sum of digits (49) gives a square (13605122881 = 1166412).

The spelling of 666651021169 in words is "six hundred sixty-six billion, six hundred fifty-one million, twenty-one thousand, one hundred sixty-nine".

Divisors: 1 7 19 49 133 343 361 877 931 2401 2527 6139 6517 16663 17689 42973 45619 116641 123823 300811 316597 769129 816487 866761 2105677 2216179 5383903 5715409 14613451 15513253 37687321 40007863 102294157 108592771 263811247 277655569 716059099 760149397 1846678729 1943588983 5012413693 13605122881 35086895851 95235860167 666651021169