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668418048 = 214331511
BaseRepresentation
bin100111110101110…
…100000000000000
31201120202011012000
4213311310000000
52332103334143
6150154304000
722364313444
oct4765640000
91646664160
10668418048
11313339411
12167a28000
13a863234c
1464ab6824
153da34bd3
hex27d74000

668418048 has 120 divisors (see below), whose sum is σ = 1981748160. Its totient is φ = 222658560.

The previous prime is 668418031. The next prime is 668418077. The reversal of 668418048 is 840814866.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 668417994 and 668418012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 441613 + ... + 443123.

It is an arithmetic number, because the mean of its divisors is an integer number (16514568).

Almost surely, 2668418048 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 668418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990874080).

668418048 is an abundant number, since it is smaller than the sum of its proper divisors (1313330112).

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

668418048 is an equidigital number, since it uses as much as digits as its factorization.

668418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 668418048 is about 25853.7820830918. The cubic root of 668418048 is about 874.3447820805.

The spelling of 668418048 in words is "six hundred sixty-eight million, four hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1511 1536 1728 2048 2304 3022 3072 3456 4096 4533 4608 6044 6144 6912 8192 9066 9216 12088 12288 13599 13824 16384 18132 18432 24176 24576 27198 27648 36264 36864 40797 48352 49152 54396 55296 72528 73728 81594 96704 108792 110592 145056 147456 163188 193408 217584 221184 290112 326376 386816 435168 442368 580224 652752 773632 870336 1160448 1305504 1547264 1740672 2320896 2611008 3094528 3481344 4641792 5222016 6189056 6962688 9283584 10444032 12378112 13925376 18567168 20888064 24756224 27850752 37134336 41776128 55701504 74268672 83552256 111403008 167104512 222806016 334209024 668418048