Search a number
-
+
6749997696 = 2732131726513
BaseRepresentation
bin1100100100101010…
…01100101010000000
3122102102022102002200
412102111030222000
5102310444411241
63033443513200
7326162014401
oct62225145200
918372272080
106749997696
11295421a1a2
121384688800
138375924a0
1448067d9a8
152978d44b6
hex19254ca80

6749997696 has 192 divisors, whose sum is σ = 22149265320. Its totient is φ = 1954676736.

The previous prime is 6749997647. The next prime is 6749997701. The reversal of 6749997696 is 6967999476.

6749997696 is a `hidden beast` number, since 67 + 499 + 9 + 76 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4480428096 + 2269569600 = 66936^2 + 47640^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 241336 + ... + 267848.

Almost surely, 26749997696 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 6749997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074632660).

6749997696 is an abundant number, since it is smaller than the sum of its proper divisors (15399267624).

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

6749997696 is a wasteful number, since it uses less digits than its factorization.

6749997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26563 (or 26548 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The square root of 6749997696 is about 82158.3696040762. The cubic root of 6749997696 is about 1889.8813598158.

The spelling of 6749997696 in words is "six billion, seven hundred forty-nine million, nine hundred ninety-seven thousand, six hundred ninety-six".