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66069696 = 26371141109
BaseRepresentation
bin1111110000001…
…0010011000000
311121022200120210
43330002103000
5113403212241
610320034120
71431404010
oct374022300
9147280523
1066069696
1134327160
121a162940
13108c38c4
148abbc40
155c01316
hex3f024c0

66069696 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 16588800.

The previous prime is 66069691. The next prime is 66069761. The reversal of 66069696 is 69696066.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66069691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606090 + ... + 606198.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 266069696 is an apocalyptic number.

66069696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

66069696 is an abundant number, since it is smaller than the sum of its proper divisors (159238464).

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

66069696 is a wasteful number, since it uses less digits than its factorization.

66069696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 66069696 is about 8128.3267650852. The cubic root of 66069696 is about 404.2662036677.

The spelling of 66069696 in words is "sixty-six million, sixty-nine thousand, six hundred ninety-six".