Search a number
-
+
966333168 = 24326710647
BaseRepresentation
bin111001100110010…
…001001011110000
32111100022210220100
4321212101023300
53434340130133
6235515512400
732642460603
oct7146211360
92440283810
10966333168
11456519459
1222b758700
13125280198
14924a633a
1559c80e13
hex399912f0

966333168 has 30 divisors (see below), whose sum is σ = 2704391144. Its totient is φ = 322111008.

The previous prime is 966333167. The next prime is 966333191. The reversal of 966333168 is 861333669.

966333168 is a `hidden beast` number, since 9 + 6 + 633 + 3 + 1 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966333167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3355180 + ... + 3355467.

Almost surely, 2966333168 is an apocalyptic number.

It is an amenable number.

966333168 is an abundant number, since it is smaller than the sum of its proper divisors (1738057976).

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

966333168 is a wasteful number, since it uses less digits than its factorization.

966333168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710661 (or 6710652 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 966333168 is about 31085.8998261270. The cubic root of 966333168 is about 988.6493734017.

The spelling of 966333168 in words is "nine hundred sixty-six million, three hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6710647 13421294 20131941 26842588 40263882 53685176 60395823 80527764 107370352 120791646 161055528 241583292 322111056 483166584 966333168