Search a number
-
+
11066520744 = 23321732573457
BaseRepresentation
bin10100100111001110…
…11011010010101000
31001120020121111112200
422103213123102220
5140131012130434
65030041540200
7541144605606
oct122347332250
931506544480
1011066520744
114769842914
12218a1a4660
131074948636
1476da68876
1544b82e199
hex2939db4a8

11066520744 has 96 divisors (see below), whose sum is σ = 30271124520. Its totient is φ = 3652190208.

The previous prime is 11066520733. The next prime is 11066520749. The reversal of 11066520744 is 44702566011.

11066520744 is a `hidden beast` number, since 1 + 1 + 0 + 66 + 520 + 74 + 4 = 666.

11066520744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10803107844 + 263412900 = 103938^2 + 16230^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11066520699 and 11066520708.

It is not an unprimeable number, because it can be changed into a prime (11066520749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199464 + ... + 3202920.

Almost surely, 211066520744 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 11066520744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135562260).

11066520744 is an abundant number, since it is smaller than the sum of its proper divisors (19204603776).

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

11066520744 is a wasteful number, since it uses less digits than its factorization.

11066520744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11066520744 in words is "eleven billion, sixty-six million, five hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 257 346 514 519 692 771 1028 1038 1384 1542 1557 2056 2076 2313 3084 3114 3457 4152 4626 6168 6228 6914 9252 10371 12456 13828 18504 20742 27656 31113 41484 44461 62226 82968 88922 124452 133383 177844 248904 266766 355688 400149 533532 598061 800298 888449 1067064 1196122 1600596 1776898 1794183 2392244 2665347 3201192 3553796 3588366 4784488 5330694 5382549 7107592 7176732 7996041 10661388 10765098 14353464 15992082 21322776 21530196 31984164 43060392 63968328 153701677 307403354 461105031 614806708 922210062 1229613416 1383315093 1844420124 2766630186 3688840248 5533260372 11066520744