Search a number
-
+
4117790112 = 25342893647
BaseRepresentation
bin1111010101110000…
…0111110110100000
3101121222100102002220
43311130013312200
531413123240422
61520334311040
7204020431662
oct36534076640
911558312086
104117790112
111823426727
1296b058480
135081537c7
142b0c56532
15191790e5c
hexf5707da0

4117790112 has 24 divisors (see below), whose sum is σ = 10809199296. Its totient is φ = 1372596672.

The previous prime is 4117790111. The next prime is 4117790129. The reversal of 4117790112 is 2110977114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (4117790111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21446728 + ... + 21446919.

It is an arithmetic number, because the mean of its divisors is an integer number (450383304).

Almost surely, 24117790112 is an apocalyptic number.

It is an amenable number.

4117790112 is an abundant number, since it is smaller than the sum of its proper divisors (6691409184).

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

4117790112 is a wasteful number, since it uses less digits than its factorization.

4117790112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42893660 (or 42893652 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 4117790112 is about 64170.0094436646. The cubic root of 4117790112 is about 1602.8322377269.

The spelling of 4117790112 in words is "four billion, one hundred seventeen million, seven hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42893647 85787294 128680941 171574588 257361882 343149176 514723764 686298352 1029447528 1372596704 2058895056 4117790112