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664646466 = 2311237109227
BaseRepresentation
bin100111100111011…
…011001101000010
31201022122112112210
4213213123031002
52330122141331
6145541402550
722320254541
oct4747331502
91638575483
10664646466
113111a2800
12166709456
13a7911743
14643b4158
153d53c446
hex279db342

664646466 has 96 divisors (see below), whose sum is σ = 1521051840. Its totient is φ = 193311360.

The previous prime is 664646459. The next prime is 664646519.

664646466 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2927845 + ... + 2928071.

It is an arithmetic number, because the mean of its divisors is an integer number (15844290).

Almost surely, 2664646466 is an apocalyptic number.

664646466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664646466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760525920).

664646466 is an abundant number, since it is smaller than the sum of its proper divisors (856405374).

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

664646466 is a wasteful number, since it uses less digits than its factorization.

664646466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 664646466 is about 25780.7382749215. The cubic root of 664646466 is about 872.6971679976.

The spelling of 664646466 in words is "six hundred sixty-four million, six hundred forty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 109 111 121 218 222 227 242 327 363 407 454 654 681 726 814 1199 1221 1362 2398 2442 2497 3597 4033 4477 4994 7194 7491 8066 8399 8954 12099 13189 13431 14982 16798 24198 24743 25197 26378 26862 27467 39567 44363 49486 50394 54934 74229 79134 82401 88726 92389 133089 148458 164802 184778 266178 272173 277167 487993 544346 554334 816519 915491 975986 1016279 1463979 1633038 1830982 2032558 2746473 2927958 2993903 3048837 5492946 5987806 6097674 8981709 10070401 17963418 20140802 30211203 60422406 110774411 221548822 332323233 664646466