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663716064 = 253113716987
BaseRepresentation
bin100111100011111…
…000000011100000
31201020220021021110
4213203320003200
52324402403224
6145505423320
722306331154
oct4743700340
91636807243
10663716064
11310717780
1216633ab40
13a76770cb
1464211064
153d406929
hex278f80e0

663716064 has 96 divisors (see below), whose sum is σ = 1952125056. Its totient is φ = 195678720.

The previous prime is 663716063. The next prime is 663716071. The reversal of 663716064 is 460617366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6637160642 = 881038027223304192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663716063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30579 + ... + 47565.

It is an arithmetic number, because the mean of its divisors is an integer number (20334636).

Almost surely, 2663716064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663716064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976062528).

663716064 is an abundant number, since it is smaller than the sum of its proper divisors (1288408992).

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

663716064 is a wasteful number, since it uses less digits than its factorization.

663716064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 663716064 is about 25762.6874374550. The cubic root of 663716064 is about 872.2897642628.

The spelling of 663716064 in words is "six hundred sixty-three million, seven hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 16987 19536 33974 39072 50961 67948 101922 135896 186857 203844 271792 373714 407688 543584 560571 628519 747428 815376 1121142 1257038 1494856 1630752 1885557 2242284 2514076 2989712 3771114 4484568 5028152 5979424 6913709 7542228 8969136 10056304 13827418 15084456 17938272 20112608 20741127 27654836 30168912 41482254 55309672 60337824 82964508 110619344 165929016 221238688 331858032 663716064