Search a number
-
+
66168984 = 2337393863
BaseRepresentation
bin1111110001101…
…0100010011000
311121111201210010
43330122202120
5113414401414
610322121520
71432266330
oct374324230
9147451703
1066168984
1134394812
121a1b02a0
1310929b5b
148b060c0
155c20959
hex3f1a898

66168984 has 32 divisors (see below), whose sum is σ = 189054720. Its totient is φ = 18905376.

The previous prime is 66168983. The next prime is 66169007. The reversal of 66168984 is 48986166.

66168984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66168983) 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 7 ways as a sum of consecutive naturals, for example, 196764 + ... + 197099.

It is an arithmetic number, because the mean of its divisors is an integer number (5907960).

Almost surely, 266168984 is an apocalyptic number.

It is an amenable number.

66168984 is an abundant number, since it is smaller than the sum of its proper divisors (122885736).

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

66168984 is a wasteful number, since it uses less digits than its factorization.

66168984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393879 (or 393875 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 66168984 is about 8134.4320022974. The cubic root of 66168984 is about 404.4686095890.

The spelling of 66168984 in words is "sixty-six million, one hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 393863 787726 1181589 1575452 2363178 2757041 3150904 4726356 5514082 8271123 9452712 11028164 16542246 22056328 33084492 66168984