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664202466 = 232313753607
BaseRepresentation
bin100111100101101…
…110110011100010
31201021210222111100
4213211232303202
52330013434331
6145524055230
722313425224
oct4745566342
91637728440
10664202466
11310a1a164
12166534516
13a77b7615
14642da414
153d4a0ae6
hex2796ece2

664202466 has 96 divisors (see below), whose sum is σ = 1557024768. Its totient is φ = 204197760.

The previous prime is 664202459. The next prime is 664202477.

664202466 is a `hidden beast` number, since 6 + 642 + 0 + 2 + 4 + 6 + 6 = 666.

664202466 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 664202466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093935 + ... + 1094541.

It is an arithmetic number, because the mean of its divisors is an integer number (16219008).

Almost surely, 2664202466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664202466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778512384).

664202466 is an abundant number, since it is smaller than the sum of its proper divisors (892822302).

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

664202466 is a wasteful number, since it uses less digits than its factorization.

664202466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 664202466 is about 25772.1257563283. The cubic root of 664202466 is about 872.5027970671.

It can be divided in two parts, 66420 and 2466, that added together give a palindrome (68886).

The spelling of 664202466 in words is "six hundred sixty-four million, two hundred two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 37 53 62 74 93 106 111 159 186 222 279 318 333 477 558 607 666 954 1147 1214 1643 1821 1961 2294 3286 3441 3642 3922 4929 5463 5883 6882 9858 10323 10926 11766 14787 17649 18817 20646 22459 29574 32171 35298 37634 44918 56451 60791 64342 67377 96513 112902 121582 134754 169353 182373 193026 202131 289539 338706 364746 404262 547119 579078 696229 997301 1094238 1190327 1392458 1994602 2088687 2380654 2991903 3570981 4177374 5983806 6266061 7141962 8975709 10712943 12532122 17951418 21425886 36900137 73800274 110700411 221400822 332101233 664202466