Search a number
-
+
4462066404 = 2232123946289
BaseRepresentation
bin1000010011111010…
…11011101011100100
3102111222011110101200
410021331123223210
533114242111104
62014433322500
7215400636645
oct41175335344
912458143350
104462066404
11198a7a1594
12a46406430
135615846a3
143048736cc
151b1ae8b39
hex109f5bae4

4462066404 has 18 divisors (see below), whose sum is σ = 11279112390. Its totient is φ = 1487355456.

The previous prime is 4462066391. The next prime is 4462066421. The reversal of 4462066404 is 4046602644.

It is a happy number.

4462066404 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 0 + 6 + 640 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4371854400 + 90212004 = 66120^2 + 9498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 123946289 = 4462066404 / (4 + 4 + 6 + 2 + 0 + 6 + 6 + 4 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61973109 + ... + 61973180.

It is an arithmetic number, because the mean of its divisors is an integer number (626617355).

Almost surely, 24462066404 is an apocalyptic number.

It is an amenable number.

4462066404 is an abundant number, since it is smaller than the sum of its proper divisors (6817045986).

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

4462066404 is a wasteful number, since it uses less digits than its factorization.

4462066404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123946299 (or 123946294 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4462066404 is about 66798.7006161048. The cubic root of 4462066404 is about 1646.3114917627.

The spelling of 4462066404 in words is "four billion, four hundred sixty-two million, sixty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 123946289 247892578 371838867 495785156 743677734 1115516601 1487355468 2231033202 4462066404