Search a number
-
+
666514944 = 29321091327
BaseRepresentation
bin100111101110100…
…011011000000000
31201110011110121200
4213232203120000
52331111434234
6150045421200
722342166154
oct4756433000
91643143550
10666514944
113122595a7
1216726a800
13a8117054
146473d064
153d7aad99
hex27ba3600

666514944 has 120 divisors (see below), whose sum is σ = 1942717920. Its totient is φ = 219967488.

The previous prime is 666514897. The next prime is 666514951. The reversal of 666514944 is 449415666.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 666514944.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 501609 + ... + 502935.

It is an arithmetic number, because the mean of its divisors is an integer number (16189316).

Almost surely, 2666514944 is an apocalyptic number.

666514944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971358960).

666514944 is an abundant number, since it is smaller than the sum of its proper divisors (1276202976).

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

666514944 is a wasteful number, since it uses less digits than its factorization.

666514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1441 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 666514944 is about 25816.9507107249. The cubic root of 666514944 is about 873.5141887294.

It can be divided in two parts, 6665 and 14944, that added together give a square (21609 = 1472).

The spelling of 666514944 in words is "six hundred sixty-six million, five hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 512 576 654 768 872 981 1152 1308 1327 1536 1744 1962 2304 2616 2654 3488 3924 3981 4608 5232 5308 6976 7848 7962 10464 10616 11943 13952 15696 15924 20928 21232 23886 27904 31392 31848 41856 42464 47772 55808 62784 63696 83712 84928 95544 125568 127392 144643 167424 169856 191088 251136 254784 289286 339712 382176 433929 502272 509568 578572 679424 764352 867858 1019136 1157144 1301787 1528704 1735716 2038272 2314288 2603574 3057408 3471432 4628576 5207148 6114816 6942864 9257152 10414296 13885728 18514304 20828592 27771456 37028608 41657184 55542912 74057216 83314368 111085824 166628736 222171648 333257472 666514944