Search a number
-
+
466460902404168 = 233729269652154581
BaseRepresentation
bin110101000001111100110010…
…0011000111011000001001000
32021011121020010022101020112220
41222003321210120323001020
5442114443412003413133
64332025102534334040
7200152455002242020
oct15203714430730110
92234536108336486
10466460902404168
111256a0a59884181
12443972b84ba320
13170380c74802b9
148328b845aaa80
1538ddaba1195b3
hex1a83e6463b048

466460902404168 has 256 divisors, whose sum is σ = 1384065029952000. Its totient is φ = 128178501427200.

The previous prime is 466460902404103. The next prime is 466460902404223. The reversal of 466460902404168 is 861404209064664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8546186638 + ... + 8546241218.

It is an arithmetic number, because the mean of its divisors is an integer number (5406504023250).

Almost surely, 2466460902404168 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 466460902404168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692032514976000).

466460902404168 is an abundant number, since it is smaller than the sum of its proper divisors (917604127547832).

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

466460902404168 is a wasteful number, since it uses less digits than its factorization.

466460902404168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61416 (or 61412 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 466460902404168 in words is "four hundred sixty-six trillion, four hundred sixty billion, nine hundred two million, four hundred four thousand, one hundred sixty-eight".