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66368808 = 2334119311
BaseRepresentation
bin1111110100101…
…1010100101000
311121212212220000
43331023110220
5113442300213
610330303000
71434061032
oct375132450
9147785800
1066368808
1134510960
121a287a60
1310999aac
148b58c52
155c5ec73
hex3f4b528

66368808 has 80 divisors (see below), whose sum is σ = 202815360. Its totient is φ = 20109600.

The previous prime is 66368807. The next prime is 66368831. The reversal of 66368808 is 80886366.

66368808 is a `hidden beast` number, since 6 + 636 + 8 + 8 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (66368801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2473 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (2535192).

Almost surely, 266368808 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 66368808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101407680).

66368808 is an abundant number, since it is smaller than the sum of its proper divisors (136446552).

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

66368808 is a wasteful number, since it uses less digits than its factorization.

66368808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66368808 is about 8146.7053463348. The cubic root of 66368808 is about 404.8753525875.

It can be divided in two parts, 66368 and 808, that added together give a palindrome (67176).

The spelling of 66368808 in words is "sixty-six million, three hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 9311 18622 27933 37244 55866 74488 83799 102421 111732 167598 204842 223464 251397 307263 335196 409684 502794 614526 670392 754191 819368 921789 1005588 1229052 1508382 1843578 2011176 2458104 2765367 3016764 3687156 5530734 6033528 7374312 8296101 11061468 16592202 22122936 33184404 66368808