Search a number
-
+
6104097792 = 21036131737
BaseRepresentation
bin1011010111101010…
…10010010000000000
3120202101221022000000
411223311102100000
5100000122112132
62445412000000
7304156655322
oct55365222000
916671838000
106104097792
112652671021
121224300000
137638157b0
1441c989612
1525ad4b87c
hex16bd52400

6104097792 has 616 divisors, whose sum is σ = 21425064696. Its totient is φ = 1719926784.

The previous prime is 6104097743. The next prime is 6104097803. The reversal of 6104097792 is 2977904016.

It can be written as a sum of positive squares in 4 ways, for example, as 1792336896 + 4311760896 = 42336^2 + 65664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164975598 + ... + 164975634.

Almost surely, 26104097792 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 6104097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712532348).

6104097792 is an abundant number, since it is smaller than the sum of its proper divisors (15320966904).

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

6104097792 is a wasteful number, since it uses less digits than its factorization.

6104097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 6104097792 is about 78128.7257799588. The cubic root of 6104097792 is about 1827.5691885702.

The spelling of 6104097792 in words is "six billion, one hundred four million, ninety-seven thousand, seven hundred ninety-two".