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664792064 = 2101947727
BaseRepresentation
bin100111100111111…
…110110000000000
31201022220221021022
4213213332300000
52330141321224
6145544445012
722321432166
oct4747766000
91638827238
10664792064
11311292132
12166779768
13a7962ab1
1464411236
153d56a65e
hex279fec00

664792064 has 88 divisors (see below), whose sum is σ = 1430607360. Its totient is φ = 307777536.

The previous prime is 664792057. The next prime is 664792067. The reversal of 664792064 is 460297466.

664792064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (664792067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 914069 + ... + 914795.

Almost surely, 2664792064 is an apocalyptic number.

664792064 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 664792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715303680).

664792064 is an abundant number, since it is smaller than the sum of its proper divisors (765815296).

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

664792064 is a wasteful number, since it uses less digits than its factorization.

664792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 664792064 is about 25783.5618951300. The cubic root of 664792064 is about 872.7608879308.

The spelling of 664792064 in words is "six hundred sixty-four million, seven hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 256 304 376 512 608 727 752 893 1024 1216 1454 1504 1786 2432 2908 3008 3572 4864 5816 6016 7144 9728 11632 12032 13813 14288 19456 23264 24064 27626 28576 34169 46528 48128 55252 57152 68338 93056 110504 114304 136676 186112 221008 228608 273352 372224 442016 457216 546704 649211 744448 884032 914432 1093408 1298422 1768064 2186816 2596844 3536128 4373632 5193688 7072256 8747264 10387376 14144512 17494528 20774752 34989056 41549504 83099008 166198016 332396032 664792064