Search a number
-
+
494050010112 = 21032375327337
BaseRepresentation
bin1110011000001111010…
…11001110010000000000
31202020020012020220112200
413030013223032100000
531043303300310422
61014544034153200
750460006540141
oct7140753162000
91666205226480
10494050010112
11180586394a8a
127b900422800
1337786541bb9
1419caad11ac8
15ccb85c82ac
hex7307ace400

494050010112 has 264 divisors, whose sum is σ = 1492812594936. Its totient is φ = 157203431424.

The previous prime is 494050010087. The next prime is 494050010177. The reversal of 494050010112 is 211010050494.

494050010112 is a `hidden beast` number, since 4 + 9 + 40 + 500 + 1 + 0 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349820199936 + 144229810176 = 591456^2 + 379776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18058908 + ... + 18086244.

Almost surely, 2494050010112 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 494050010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746406297468).

494050010112 is an abundant number, since it is smaller than the sum of its proper divisors (998762584824).

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

494050010112 is a wasteful number, since it uses less digits than its factorization.

494050010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27453 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 494050010112 in words is "four hundred ninety-four billion, fifty million, ten thousand, one hundred twelve".