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664856064 = 2932157919
BaseRepresentation
bin100111101000001…
…110011000000000
31201100001012001200
4213220032120000
52330200343224
6145550101200
722322116605
oct4750163000
91640035050
10664856064
11311326224
121667aa800
13a7985c72
146442a6ac
153d57e5c9
hex27a0e600

664856064 has 120 divisors (see below), whose sum is σ = 1933142640. Its totient is φ = 219967488.

The previous prime is 664856053. The next prime is 664856069. The reversal of 664856064 is 460658466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664856069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722997 + ... + 723915.

It is an arithmetic number, because the mean of its divisors is an integer number (16109522).

Almost surely, 2664856064 is an apocalyptic number.

664856064 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 664856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966571320).

664856064 is an abundant number, since it is smaller than the sum of its proper divisors (1268286576).

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

664856064 is a wasteful number, since it uses less digits than its factorization.

664856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 664856064 is about 25784.8029660884. The cubic root of 664856064 is about 872.7888941338.

The spelling of 664856064 in words is "six hundred sixty-four million, eight hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 628 768 919 942 1152 1256 1413 1536 1838 1884 2304 2512 2757 2826 3676 3768 4608 5024 5514 5652 7352 7536 8271 10048 11028 11304 14704 15072 16542 20096 22056 22608 29408 30144 33084 40192 44112 45216 58816 60288 66168 80384 88224 90432 117632 120576 132336 144283 176448 180864 235264 241152 264672 288566 352896 361728 432849 470528 529344 577132 705792 723456 865698 1058688 1154264 1298547 1411584 1731396 2117376 2308528 2597094 3462792 4234752 4617056 5194188 6925584 9234112 10388376 13851168 18468224 20776752 27702336 36936448 41553504 55404672 73872896 83107008 110809344 166214016 221618688 332428032 664856064