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66644352 = 2732174183
BaseRepresentation
bin1111111000111…
…0100110000000
311122101212212100
43332032212000
5114030104402
610340230400
71436316255
oct376164600
9148355770
1066644352
1134689985
121a39b400
1310a65338
148bcb42c
155cb671c
hex3f8e980

66644352 has 192 divisors, whose sum is σ = 210515760. Its totient is φ = 20152320.

The previous prime is 66644341. The next prime is 66644353. The reversal of 66644352 is 25344666.

66644352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66644353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802903 + ... + 802985.

Almost surely, 266644352 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 66644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880).

66644352 is an abundant number, since it is smaller than the sum of its proper divisors (143871408).

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

66644352 is a wasteful number, since it uses less digits than its factorization.

66644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66644352 is about 8163.5992062325. The cubic root of 66644352 is about 405.4348872196.

The spelling of 66644352 in words is "sixty-six million, six hundred forty-four thousand, three hundred fifty-two".