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668454912 = 2123218133
BaseRepresentation
bin100111110101111…
…101000000000000
31201120211000202100
4213311331000000
52332111024122
6150155150400
722364526066
oct4765750000
91646730670
10668454912
11313364084
12167a45400
13a8646068
1464ac6036
153da40aac
hex27d7d000

668454912 has 78 divisors (see below), whose sum is σ = 1930962722. Its totient is φ = 222806016.

The previous prime is 668454907. The next prime is 668454923. The reversal of 668454912 is 219454866.

It can be written as a sum of positive squares in only one way, i.e., 548683776 + 119771136 = 23424^2 + 10944^2 .

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 5 ways as a sum of consecutive naturals, for example, 27798 + ... + 45930.

Almost surely, 2668454912 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 668454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965481361).

668454912 is an abundant number, since it is smaller than the sum of its proper divisors (1262507810).

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

668454912 is a wasteful number, since it uses less digits than its factorization.

668454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18163 (or 18138 counting only the distinct ones).

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

The square root of 668454912 is about 25854.4950057045. The cubic root of 668454912 is about 874.3608554813.

The spelling of 668454912 in words is "six hundred sixty-eight million, four hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18133 18432 36266 36864 54399 72532 108798 145064 163197 217596 290128 326394 435192 580256 652788 870384 1160512 1305576 1740768 2321024 2611152 3481536 4642048 5222304 6963072 9284096 10444608 13926144 18568192 20889216 27852288 37136384 41778432 55704576 74272768 83556864 111409152 167113728 222818304 334227456 668454912