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66313856 = 277297109
BaseRepresentation
bin1111110011110…
…1111010000000
311121210002111202
43330331322000
5113434020411
610325200332
71433441600
oct374757200
9147702452
1066313856
1134483644
121a2600a8
131097aa8b
148b42c00
155c4d83b
hex3f3de80

66313856 has 96 divisors (see below), whose sum is σ = 156687300. Its totient is φ = 27869184.

The previous prime is 66313837. The next prime is 66313861. The reversal of 66313856 is 65831366.

It can be written as a sum of positive squares in 2 ways, for example, as 65934400 + 379456 = 8120^2 + 616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608330 + ... + 608438.

Almost surely, 266313856 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 66313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343650).

66313856 is an abundant number, since it is smaller than the sum of its proper divisors (90373444).

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

66313856 is a wasteful number, since it uses less digits than its factorization.

66313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 66313856 is about 8143.3319961795. The cubic root of 66313856 is about 404.7635789278.

The spelling of 66313856 in words is "sixty-six million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 109 112 128 194 196 218 224 388 392 436 448 679 763 776 784 872 896 1358 1526 1552 1568 1744 2716 3052 3104 3136 3488 4753 5341 5432 6104 6208 6272 6976 9506 10573 10682 10864 12208 12416 13952 19012 21146 21364 21728 24416 38024 42292 42728 43456 48832 74011 76048 84584 85456 86912 97664 148022 152096 169168 170912 296044 304192 338336 341824 518077 592088 608384 676672 683648 1036154 1184176 1353344 2072308 2368352 4144616 4736704 8289232 9473408 16578464 33156928 66313856