Search a number
-
+
66010050 = 232523832
BaseRepresentation
bin1111101111001…
…1101111000010
311121012122202200
43323303233002
5113344310200
610314454030
71431035061
oct373635702
9147178680
1066010050
1134296367
121a134316
13108a2702
148aa41d8
155bdd800
hex3ef3bc2

66010050 has 54 divisors (see below), whose sum is σ = 177811257. Its totient is φ = 17556720.

The previous prime is 66010039. The next prime is 66010057. The reversal of 66010050 is 5001066.

66010050 is a `hidden beast` number, since 660 + 1 + 0 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64689849 + 1320201 = 8043^2 + 1149^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5745.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (66010057) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 172159 + ... + 172541.

Almost surely, 266010050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66010050

66010050 is an abundant number, since it is smaller than the sum of its proper divisors (111801207).

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

66010050 is a wasteful number, since it uses less digits than its factorization.

66010050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 66010050 is about 8124.6569158334. The cubic root of 66010050 is about 404.1445133758.

Multiplying 66010050 by its sum of digits (18), we get a square (1188180900 = 344702).

66010050 divided by its sum of digits (18) gives a square (3667225 = 19152).

The spelling of 66010050 in words is "sixty-six million, ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 383 450 766 1149 1915 2298 3447 3830 5745 6894 9575 11490 17235 19150 28725 34470 57450 86175 146689 172350 293378 440067 733445 880134 1320201 1466890 2200335 2640402 3667225 4400670 6601005 7334450 11001675 13202010 22003350 33005025 66010050