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66403668 = 22323475119
BaseRepresentation
bin1111110101001…
…1110101010100
311121221122201010
43331103311110
5113444404133
610331132220
71434264462
oct375236524
9147848633
1066403668
1134535071
121a2a4070
13109ac916
148b67832
155c6a263
hex3f53d54

66403668 has 48 divisors (see below), whose sum is σ = 165150720. Its totient is φ = 20717664.

The previous prime is 66403663. The next prime is 66403669. The reversal of 66403668 is 86630466.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66403663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10413 + ... + 15531.

It is an arithmetic number, because the mean of its divisors is an integer number (3440640).

Almost surely, 266403668 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 66403668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82575360).

66403668 is an abundant number, since it is smaller than the sum of its proper divisors (98747052).

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

66403668 is a wasteful number, since it uses less digits than its factorization.

66403668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 66403668 is about 8148.8445806752. The cubic root of 66403668 is about 404.9462266665.

The spelling of 66403668 in words is "sixty-six million, four hundred three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 5119 6486 10238 12972 15357 20476 30714 61428 117737 235474 240593 353211 470948 481186 706422 721779 962372 1412844 1443558 2887116 5533639 11067278 16600917 22134556 33201834 66403668