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664668768 = 253311731291
BaseRepresentation
bin100111100111100…
…000101001100000
31201022200200010210
4213213200221200
52330123400033
6145542054120
722320406551
oct4747405140
91638620123
10664668768
11311208535
1216671a340
13a791b93a
14643bc328
153d543d63
hex279e0a60

664668768 has 96 divisors (see below), whose sum is σ = 1812851712. Its totient is φ = 213004800.

The previous prime is 664668751. The next prime is 664668769. The reversal of 664668768 is 867866466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664668769) 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, 514203 + ... + 515493.

It is an arithmetic number, because the mean of its divisors is an integer number (18883872).

Almost surely, 2664668768 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 664668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906425856).

664668768 is an abundant number, since it is smaller than the sum of its proper divisors (1148182944).

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

664668768 is a wasteful number, since it uses less digits than its factorization.

664668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The square root of 664668768 is about 25781.1708035147. The cubic root of 664668768 is about 872.7069289134.

The spelling of 664668768 in words is "six hundred sixty-four million, six hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 173 186 248 346 372 496 519 692 744 992 1038 1291 1384 1488 2076 2582 2768 2976 3873 4152 5164 5363 5536 7746 8304 10328 10726 15492 16089 16608 20656 21452 30984 32178 40021 41312 42904 61968 64356 80042 85808 120063 123936 128712 160084 171616 223343 240126 257424 320168 446686 480252 514848 640336 670029 893372 960504 1280672 1340058 1786744 1921008 2680116 3573488 3842016 5360232 6923633 7146976 10720464 13847266 20770899 21440928 27694532 41541798 55389064 83083596 110778128 166167192 221556256 332334384 664668768