Search a number
-
+
4550066307072 = 21738111337
BaseRepresentation
bin100001000110110010100…
…0101100000000000000000
3121002222111221111100000000
41002031211011200000000
51044022013433311242
613402134400000000
7646505612321346
oct102154505400000
917088457440000
104550066307072
1114a47438a0650
12615a00000000
132700b9660b80
1411a31d9d3996
157d5571cea4c
hex42365160000

4550066307072 has 1296 divisors, whose sum is σ = 16469119294992. Its totient is φ = 1238347284480.

The previous prime is 4550066307071. The next prime is 4550066307077. The reversal of 4550066307072 is 2707036600554.

4550066307072 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 0 + 6 + 630 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4550066307071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122974765038 + ... + 122974765074.

It is an arithmetic number, because the mean of its divisors is an integer number (12707653777).

Almost surely, 24550066307072 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 4550066307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234559647496).

4550066307072 is an abundant number, since it is smaller than the sum of its proper divisors (11919052987920).

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

4550066307072 is an frugal number, since it uses more digits than its factorization.

4550066307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 4550066307072 in words is "four trillion, five hundred fifty billion, sixty-six million, three hundred seven thousand, seventy-two".