Search a number
-
+
11046130614 = 2323122388771
BaseRepresentation
bin10100100100110011…
…01001001110110110
31001111211020120112200
422102121221032312
5140110302134424
65024032525330
7540506363301
oct122231511666
931454216480
1011046130614
114759286472
1221833b0846
13107065977c
1476b07bb38
15449b528c9
hex2926693b6

11046130614 has 48 divisors (see below), whose sum is σ = 24816390144. Its totient is φ = 3547249200.

The previous prime is 11046130597. The next prime is 11046130619. The reversal of 11046130614 is 41603164011.

11046130614 is a `hidden beast` number, since 1 + 1 + 0 + 46 + 1 + 3 + 0 + 614 = 666.

11046130614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046130619) 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, 80049 + ... + 168819.

It is an arithmetic number, because the mean of its divisors is an integer number (517008128).

Almost surely, 211046130614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046130614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408195072).

11046130614 is an abundant number, since it is smaller than the sum of its proper divisors (13770259530).

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

11046130614 is a wasteful number, since it uses less digits than its factorization.

11046130614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89033 (or 89030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11046130614 its reverse (41603164011), we get a palindrome (52649294625).

The spelling of 11046130614 in words is "eleven billion, forty-six million, one hundred thirty thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 223 279 446 558 669 1338 2007 4014 6913 13826 20739 41478 62217 88771 124434 177542 266313 532626 798939 1597878 2751901 5503802 8255703 16511406 19795933 24767109 39591866 49534218 59387799 118775598 178163397 356326794 613673923 1227347846 1841021769 3682043538 5523065307 11046130614