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664464816 = 24335329021
BaseRepresentation
bin100111100110101…
…110110110110000
31201022022022101000
4213212232312300
52330100333231
6145533442000
722315600131
oct4746566660
91638268330
10664464816
11311089284
12166640300
13a7879b62
1464367c88
153d5036e6
hex279aedb0

664464816 has 80 divisors (see below), whose sum is σ = 1943313120. Its totient is φ = 217301760.

The previous prime is 664464809. The next prime is 664464821. The reversal of 664464816 is 618464466.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8386 + ... + 37406.

It is an arithmetic number, because the mean of its divisors is an integer number (24291414).

Almost surely, 2664464816 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 664464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971656560).

664464816 is an abundant number, since it is smaller than the sum of its proper divisors (1278848304).

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

664464816 is a wasteful number, since it uses less digits than its factorization.

664464816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29091 (or 29079 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 664464816 is about 25777.2150551606. The cubic root of 664464816 is about 872.6176571134.

The spelling of 664464816 in words is "six hundred sixty-four million, four hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 29021 58042 87063 116084 174126 232168 261189 348252 464336 522378 696504 783567 1044756 1393008 1538113 1567134 2089512 3076226 3134268 4179024 4614339 6152452 6268536 9228678 12304904 12537072 13843017 18457356 24609808 27686034 36914712 41529051 55372068 73829424 83058102 110744136 166116204 221488272 332232408 664464816