Search a number
-
+
11381709612 = 22372131978367
BaseRepresentation
bin10101001100110011…
…10001101100101100
31002101012200202101110
422212121301230230
5141302204201422
65121221312020
7552022635600
oct124631615454
932335622343
1011381709612
114910750989
122257865610
1310c5033a20
1479d873500
1546933d60c
hex2a6671b2c

11381709612 has 144 divisors (see below), whose sum is σ = 35021091840. Its totient is φ = 2843745408.

The previous prime is 11381709589. The next prime is 11381709623. The reversal of 11381709612 is 21690718311.

11381709612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106053 + ... + 184419.

Almost surely, 211381709612 is an apocalyptic number.

11381709612 is a gapful number since it is divisible by the number (12) 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 11381709612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510545920).

11381709612 is an abundant number, since it is smaller than the sum of its proper divisors (23639382228).

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

11381709612 is a wasteful number, since it uses less digits than its factorization.

11381709612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78420 (or 78411 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11381709612 in words is "eleven billion, three hundred eighty-one million, seven hundred nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2548 2793 2964 3458 3724 3822 5187 5586 6916 7644 10374 11172 12103 20748 24206 36309 48412 72618 78367 145236 156734 235101 313468 470202 548569 940404 1018771 1097138 1488973 1645707 2037542 2194276 2977946 3056313 3291414 3839983 4075084 4466919 5955892 6112626 6582828 7131397 7679966 8933838 10422811 11519949 12225252 14262794 15359932 17867676 19356649 20845622 21394191 23039898 28525588 31268433 38713298 41691244 42788382 46079796 49919779 58069947 62536866 72959677 77426596 85576764 99839558 116139894 125073732 135496543 145919354 149759337 199679116 218879031 232279788 270993086 291838708 299518674 406489629 437758062 541986172 599037348 812979258 875516124 948475801 1625958516 1896951602 2845427403 3793903204 5690854806 11381709612