Search a number
-
+
11217477720 = 2335315715281
BaseRepresentation
bin10100111001001110…
…10010000001011000
31001221202122220120210
422130213102001120
5140433133241340
65053033251120
7544656662451
oct123447220130
931852586523
1011217477720
114836a79049
122210863aa0
131099cc0ca7
14785b22128
15459bec180
hex29c9d2058

11217477720 has 128 divisors (see below), whose sum is σ = 34805422080. Its totient is φ = 2889216000.

The previous prime is 11217477703. The next prime is 11217477721. The reversal of 11217477720 is 2777471211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217477721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2121480 + ... + 2126760.

It is an arithmetic number, because the mean of its divisors is an integer number (271917360).

Almost surely, 211217477720 is an apocalyptic number.

11217477720 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 11217477720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402711040).

11217477720 is an abundant number, since it is smaller than the sum of its proper divisors (23587944360).

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

11217477720 is a wasteful number, since it uses less digits than its factorization.

11217477720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 39.

The spelling of 11217477720 in words is "eleven billion, two hundred seventeen million, four hundred seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 571 620 744 930 1142 1240 1713 1860 2284 2855 3426 3720 4568 5281 5710 6852 8565 10562 11420 13704 15843 17130 17701 21124 22840 26405 31686 34260 35402 42248 52810 53103 63372 68520 70804 79215 88505 105620 106206 126744 141608 158430 163711 177010 211240 212412 265515 316860 327422 354020 424824 491133 531030 633720 654844 708040 818555 982266 1062060 1309688 1637110 1964532 2124120 2455665 3015451 3274220 3929064 4911330 6030902 6548440 9046353 9822660 12061804 15077255 18092706 19645320 24123608 30154510 36185412 45231765 60309020 72370824 90463530 93478981 120618040 180927060 186957962 280436943 361854120 373915924 467394905 560873886 747831848 934789810 1121747772 1402184715 1869579620 2243495544 2804369430 3739159240 5608738860 11217477720