Search a number
-
+
5494712306976 = 2532312273318191
BaseRepresentation
bin100111111110101011001…
…1000000000110100100000
3201110021210221121012110100
41033331112120000310200
51210011132322310401
615404122550102400
71104660043663044
oct117752630006440
921407727535410
105494712306976
111829326939a22
12748ab404aa00
1330b1c28a42a9
1414dd3461a024
1597de4020b86
hex4ff56600d20

5494712306976 has 288 divisors, whose sum is σ = 16251623571456. Its totient is φ = 1759133376000.

The previous prime is 5494712306971. The next prime is 5494712306987. The reversal of 5494712306976 is 6796032174945.

5494712306976 is a `hidden beast` number, since 5 + 4 + 9 + 471 + 2 + 30 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5494712306971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670819041 + ... + 670827231.

It is an arithmetic number, because the mean of its divisors is an integer number (56429248512).

Almost surely, 25494712306976 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 5494712306976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125811785728).

5494712306976 is an abundant number, since it is smaller than the sum of its proper divisors (10756911264480).

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

5494712306976 is a wasteful number, since it uses less digits than its factorization.

5494712306976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 5494712306976 in words is "five trillion, four hundred ninety-four billion, seven hundred twelve million, three hundred six thousand, nine hundred seventy-six".