Search a number
-
+
11478364668 = 2232312714673
BaseRepresentation
bin10101011000010100…
…11111000111111100
31002121221120100012100
422230022133013330
5142001430132133
65134553105100
7554305330011
oct125412370774
932557510170
1011478364668
1149602682a1
1222840b8190
13110c075b74
147ac633708
15472a81e13
hex2ac29f1fc

11478364668 has 108 divisors (see below), whose sum is σ = 30409679664. Its totient is φ = 3649766400.

The previous prime is 11478364663. The next prime is 11478364687. The reversal of 11478364668 is 86646387411.

11478364668 is a `hidden beast` number, since 1 + 147 + 8 + 36 + 466 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478364663) 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 35 ways as a sum of consecutive naturals, for example, 2453980 + ... + 2458652.

It is an arithmetic number, because the mean of its divisors is an integer number (281571108).

Almost surely, 211478364668 is an apocalyptic number.

11478364668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11478364668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204839832).

11478364668 is an abundant number, since it is smaller than the sum of its proper divisors (18931314996).

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

11478364668 is a wasteful number, since it uses less digits than its factorization.

11478364668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4780 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 11478364668 in words is "eleven billion, four hundred seventy-eight million, three hundred sixty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 961 1116 1278 1922 2201 2556 2883 3844 4402 4673 5766 6603 8649 8804 9346 11532 13206 14019 17298 18692 19809 26412 28038 34596 39618 42057 56076 68231 79236 84114 136462 144863 168228 204693 272924 289726 331783 409386 434589 579452 614079 663566 818772 869178 995349 1228158 1303767 1327132 1738356 1990698 2456316 2607534 2986047 3981396 4490753 5215068 5972094 8981506 10285273 11944188 13472259 17963012 20570546 26944518 30855819 40416777 41141092 53889036 61711638 80833554 92567457 123423276 161667108 185134914 318843463 370269828 637686926 956530389 1275373852 1913060778 2869591167 3826121556 5739182334 11478364668