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664521984 = 2832741203
BaseRepresentation
bin100111100110111…
…100110100000000
31201022102012210100
4213212330310000
52330104200414
6145535002400
722316225610
oct4746746400
91638365710
10664521984
11311118225
12166669400
13a7899b99
1464380a40
153d515609
hex279bcd00

664521984 has 108 divisors (see below), whose sum is σ = 2189745376. Its totient is φ = 189858816.

The previous prime is 664521929. The next prime is 664522021. The reversal of 664521984 is 489125466.

664521984 is a `hidden beast` number, since 6 + 6 + 452 + 198 + 4 = 666.

It is a super-3 number, since 3×6645219843 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4474 + ... + 36729.

Almost surely, 2664521984 is an apocalyptic number.

664521984 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 664521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094872688).

664521984 is an abundant number, since it is smaller than the sum of its proper divisors (1525223392).

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

664521984 is a wasteful number, since it uses less digits than its factorization.

664521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41232 (or 41215 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 664521984 is about 25778.3239175863. The cubic root of 664521984 is about 872.6426819527.

The spelling of 664521984 in words is "six hundred sixty-four million, five hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 41203 82406 123609 164812 247218 288421 329624 370827 494436 576842 659248 741654 865263 988872 1153684 1318496 1483308 1730526 1977744 2307368 2595789 2636992 2966616 3461052 3955488 4614736 5191578 5273984 5933232 6922104 7910976 9229472 10383156 10547968 11866464 13844208 15821952 18458944 20766312 23732928 27688416 31643904 36917888 41532624 47465856 55376832 73835776 83065248 94931712 110753664 166130496 221507328 332260992 664521984