Search a number
-
+
11066016060 = 223251131180287
BaseRepresentation
bin10100100111001011…
…00000000100111100
31001120012122212020200
422103211200010330
5140130400003220
65030023043500
7541140404331
oct122345400474
931505585220
1011066016060
114769528720
122189ba0590
1310747cc9c8
1476d976988
1544b77e890
hex29396013c

11066016060 has 144 divisors (see below), whose sum is σ = 37799903232. Its totient is φ = 2596118400.

The previous prime is 11066016037. The next prime is 11066016067. The reversal of 11066016060 is 6061066011.

It is a super-2 number, since 2×110660160602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066016067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28764 + ... + 151523.

It is an arithmetic number, because the mean of its divisors is an integer number (262499328).

Almost surely, 211066016060 is an apocalyptic number.

11066016060 is a gapful number since it is divisible by the number (10) 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 11066016060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899951616).

11066016060 is an abundant number, since it is smaller than the sum of its proper divisors (26733887172).

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

11066016060 is a wasteful number, since it uses less digits than its factorization.

11066016060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180344 (or 180339 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11066016060 in words is "eleven billion, sixty-six million, sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 180287 360574 540861 721148 901435 1081722 1622583 1802870 1983157 2163444 2704305 3245166 3605740 3966314 5408610 5588897 5949471 6490332 7932628 8112915 9915785 10817220 11177794 11898942 16225830 16766691 17848413 19831570 22355588 23797884 27944485 29747355 32451660 33533382 35696826 39663140 50300073 55888970 59494710 61477867 67066764 71393652 83833455 89242065 100600146 111777940 118989420 122955734 167666910 178484130 184433601 201200292 245911468 251500365 307389335 335333820 356968260 368867202 503000730 553300803 614778670 737734404 922168005 1006001460 1106601606 1229557340 1844336010 2213203212 2766504015 3688672020 5533008030 11066016060