Search a number
-
+
64011168 = 25331341139
BaseRepresentation
bin1111010000101…
…1101110100000
311110110002211000
43310023232200
5112341324133
610203552000
71405041324
oct364135640
9143402730
1064011168
11331505a1
121952b600
1310352940
148703984
155946413
hex3d0bba0

64011168 has 192 divisors, whose sum is σ = 207446400. Its totient is φ = 19077120.

The previous prime is 64011161. The next prime is 64011217. The reversal of 64011168 is 86111046.

64011168 is a `hidden beast` number, since 640 + 1 + 1 + 16 + 8 = 666.

64011168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64011161) 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 31 ways as a sum of consecutive naturals, for example, 460443 + ... + 460581.

It is an arithmetic number, because the mean of its divisors is an integer number (1080450).

Almost surely, 264011168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64011168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103723200).

64011168 is an abundant number, since it is smaller than the sum of its proper divisors (143435232).

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

64011168 is a wasteful number, since it uses less digits than its factorization.

64011168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 64011168 is about 8000.6979695524. The cubic root of 64011168 is about 400.0232653135.

It can be divided in two parts, 6401 and 1168, that added together give a square (7569 = 872).

The spelling of 64011168 in words is "sixty-four million, eleven thousand, one hundred sixty-eight".