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66404196 = 22323749853
BaseRepresentation
bin1111110101001…
…1111101100100
311121221200102200
43331103331210
5113444413241
610331134500
71434266145
oct375237544
9147850380
1066404196
1134535501
121a2a4430
13109acc31
148b67acc
155c6a4b6
hex3f53f64

66404196 has 36 divisors (see below), whose sum is σ = 172395132. Its totient is φ = 21536064.

The previous prime is 66404189. The next prime is 66404207. The reversal of 66404196 is 69140466.

66404196 is a `hidden beast` number, since 6 + 640 + 4 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36000000 + 30404196 = 6000^2 + 5514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66404196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23595 + ... + 26258.

Almost surely, 266404196 is an apocalyptic number.

It is an amenable number.

66404196 is an abundant number, since it is smaller than the sum of its proper divisors (105990936).

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

66404196 is a wasteful number, since it uses less digits than its factorization.

66404196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49900 (or 49895 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66404196 is about 8148.8769778418. The cubic root of 66404196 is about 404.9472999558.

The spelling of 66404196 in words is "sixty-six million, four hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 49853 99706 149559 199412 299118 448677 598236 897354 1794708 1844561 3689122 5533683 7378244 11067366 16601049 22134732 33202098 66404196