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664382664 = 2332117511117
BaseRepresentation
bin100111100110011…
…010110011001000
31201022011010200100
4213212122303020
52330040221124
6145532005400
722315105461
oct4746326310
91638133610
10664382664
11311032590
12166600860
13a784b64a
1464345d68
153d4d91c9
hex2799acc8

664382664 has 96 divisors (see below), whose sum is σ = 1967322240. Its totient is φ = 200880000.

The previous prime is 664382629. The next prime is 664382701. The reversal of 664382664 is 466283466.

664382664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594234 + ... + 595350.

It is an arithmetic number, because the mean of its divisors is an integer number (20492940).

Almost surely, 2664382664 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 664382664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983661120).

664382664 is an abundant number, since it is smaller than the sum of its proper divisors (1302939576).

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

664382664 is a wasteful number, since it uses less digits than its factorization.

664382664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1884 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 664382664 is about 25775.6215056010. The cubic root of 664382664 is about 872.5816932125.

The spelling of 664382664 in words is "six hundred sixty-four million, three hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 751 792 1117 1502 2234 2253 3004 3351 4468 4506 6008 6702 6759 8261 8936 9012 10053 12287 13404 13518 16522 18024 20106 24574 24783 26808 27036 33044 36861 40212 49148 49566 54072 66088 73722 74349 80424 98296 99132 110583 147444 148698 198264 221166 294888 297396 442332 594792 838867 884664 1677734 2516601 3355468 5033202 6710936 7549803 9227537 10066404 15099606 18455074 20132808 27682611 30199212 36910148 55365222 60398424 73820296 83047833 110730444 166095666 221460888 332191332 664382664