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66352644 = 22321843129
BaseRepresentation
bin1111110100011…
…1011000000100
311121212001201100
43331013120010
5113441241034
610330100100
71433662641
oct375073004
9147761640
1066352644
11344aa7a6
121a27a630
1310992627
148b52dc8
155c5a099
hex3f47604

66352644 has 18 divisors (see below), whose sum is σ = 167724830. Its totient is φ = 22117536.

The previous prime is 66352633. The next prime is 66352651. The reversal of 66352644 is 44625366.

66352644 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 2 + 644 = 666.

66352644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 9922500 = 7512^2 + 3150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1843129 = 66352644 / (6 + 6 + 3 + 5 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 66352599 and 66352608.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 921529 + ... + 921600.

Almost surely, 266352644 is an apocalyptic number.

It is an amenable number.

66352644 is an abundant number, since it is smaller than the sum of its proper divisors (101372186).

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

66352644 is a wasteful number, since it uses less digits than its factorization.

66352644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843139 (or 1843134 counting only the distinct ones).

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

The square root of 66352644 is about 8145.7132284411. The cubic root of 66352644 is about 404.8424810386.

The spelling of 66352644 in words is "sixty-six million, three hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1843129 3686258 5529387 7372516 11058774 16588161 22117548 33176322 66352644