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664078176 = 25383163
BaseRepresentation
bin100111100101010…
…000011101100000
31201021120200000000
4213211100131200
52330001000201
6145521300000
722312366656
oct4745203540
91637520000
10664078176
11310944843
12166494600
13a7772b88
14642a6dd6
153d478d86
hex27950760

664078176 has 108 divisors (see below), whose sum is σ = 1961626212. Its totient is φ = 221289408.

The previous prime is 664078133. The next prime is 664078201. The reversal of 664078176 is 671870466.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 208371 + ... + 211533.

Almost surely, 2664078176 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 664078176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980813106).

664078176 is an abundant number, since it is smaller than the sum of its proper divisors (1297548036).

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

664078176 is an frugal number, since it uses more digits than its factorization.

664078176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 664078176 is about 25769.7143173920. The cubic root of 664078176 is about 872.4483708226.

The spelling of 664078176 in words is "six hundred sixty-four million, seventy-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3163 3888 4374 5832 6326 6561 7776 8748 9489 11664 12652 13122 17496 18978 23328 25304 26244 28467 34992 37956 50608 52488 56934 69984 75912 85401 101216 104976 113868 151824 170802 209952 227736 256203 303648 341604 455472 512406 683208 768609 910944 1024812 1366416 1537218 2049624 2305827 2732832 3074436 4099248 4611654 6148872 6917481 8198496 9223308 12297744 13834962 18446616 20752443 24595488 27669924 36893232 41504886 55339848 73786464 83009772 110679696 166019544 221359392 332039088 664078176