Search a number
-
+
11066314776 = 2331131253823
BaseRepresentation
bin10100100111001101…
…01001000000011000
31001120020020001000020
422103212221000120
5140130434033101
65030033310440
7541143060246
oct122346510030
931506201006
1011066314776
1147697120a0
12218a105420
1310748a596a
1476da13796
1544b7dd136
hex2939a9018

11066314776 has 192 divisors, whose sum is σ = 31812860160. Its totient is φ = 3180153600.

The previous prime is 11066314741. The next prime is 11066314789. The reversal of 11066314776 is 67741366011.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13445901 + ... + 13446723.

It is an arithmetic number, because the mean of its divisors is an integer number (165691980).

Almost surely, 211066314776 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 11066314776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906430080).

11066314776 is an abundant number, since it is smaller than the sum of its proper divisors (20746545384).

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

11066314776 is a wasteful number, since it uses less digits than its factorization.

11066314776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

It can be divided in two parts, 110 and 66314776, that added together give a triangular number (66314886 = T11516).

The spelling of 11066314776 in words is "eleven billion, sixty-six million, three hundred fourteen thousand, seven hundred seventy-six".