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664416126 = 2321110332579
BaseRepresentation
bin100111100110100…
…010111101111110
31201022012211120200
4213212202331332
52330042304001
6145532424330
722315305153
oct4746427576
91638184520
10664416126
11311055740
121666180a6
13a786094a
146435422a
153d4e4086
hex279a2f7e

664416126 has 48 divisors (see below), whose sum is σ = 1585733760. Its totient is φ = 199377360.

The previous prime is 664416107. The next prime is 664416127. The reversal of 664416126 is 621614466.

664416126 is a `hidden beast` number, since 6 + 644 + 1 + 6 + 1 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664416127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 36683.

It is an arithmetic number, because the mean of its divisors is an integer number (33036120).

Almost surely, 2664416126 is an apocalyptic number.

664416126 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 664416126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792866880).

664416126 is an abundant number, since it is smaller than the sum of its proper divisors (921317634).

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

664416126 is a wasteful number, since it uses less digits than its factorization.

664416126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32701 (or 32698 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 664416126 is about 25776.2705991383. The cubic root of 664416126 is about 872.5963423196.

The spelling of 664416126 in words is "six hundred sixty-four million, four hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 32579 65158 97737 195474 293211 358369 586422 716738 1075107 2150214 3225321 3355637 6450642 6711274 10066911 20133822 30200733 36912007 60401466 73824014 110736021 221472042 332208063 664416126