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66073797 = 326121973
BaseRepresentation
bin1111110000001…
…1010011000101
311121022220012200
43330003103011
5113403330142
610320105113
71431421656
oct374032305
9147286180
1066073797
113432a249
121a165199
13108c572a
148abd52d
155c0264c
hex3f034c5

66073797 has 18 divisors (see below), whose sum is σ = 97079346. Its totient is φ = 43305120.

The previous prime is 66073793. The next prime is 66073829. The reversal of 66073797 is 79737066.

66073797 is a `hidden beast` number, since 6 + 607 + 37 + 9 + 7 = 666.

66073797 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 3 ways, for example, as 8328996 + 57744801 = 2886^2 + 7599^2 .

It is not a de Polignac number, because 66073797 - 22 = 66073793 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66073793) 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 17 ways as a sum of consecutive naturals, for example, 32503 + ... + 34475.

It is an arithmetic number, because the mean of its divisors is an integer number (5393297).

Almost surely, 266073797 is an apocalyptic number.

It is an amenable number.

66073797 is a deficient number, since it is larger than the sum of its proper divisors (31005549).

66073797 is a wasteful number, since it uses less digits than its factorization.

66073797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 66073797 is about 8128.5790271117. The cubic root of 66073797 is about 404.2745678725.

It can be divided in two parts, 6607 and 3797, that added together give a square (10404 = 1022).

The spelling of 66073797 in words is "sixty-six million, seventy-three thousand, seven hundred ninety-seven".

Divisors: 1 3 9 61 183 549 1973 3721 5919 11163 17757 33489 120353 361059 1083177 7341533 22024599 66073797