Search a number
-
+
11622316720 = 2457195711913
BaseRepresentation
bin10101101001011111…
…00111101010110000
31002222222102212021211
422310233213222300
5142300303113340
65201134325504
7561004030210
oct126457475260
932888385254
1011622316720
114a24549633
122304359894
131132b37cb1
147c37c6240
154805195ea
hex2b4be7ab0

11622316720 has 160 divisors (see below), whose sum is σ = 32581486080. Its totient is φ = 3766487040.

The previous prime is 11622316709. The next prime is 11622316723. The reversal of 11622316720 is 2761322611.

It is not an unprimeable number, because it can be changed into a prime (11622316723) 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 31 ways as a sum of consecutive naturals, for example, 6074484 + ... + 6076396.

It is an arithmetic number, because the mean of its divisors is an integer number (203634288).

Almost surely, 211622316720 is an apocalyptic number.

11622316720 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 11622316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290743040).

11622316720 is an abundant number, since it is smaller than the sum of its proper divisors (20959169360).

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

11622316720 is a wasteful number, since it uses less digits than its factorization.

11622316720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 11622316720 in words is "eleven billion, six hundred twenty-two million, three hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 571 665 760 1064 1142 1330 1520 1913 2128 2284 2660 2855 3826 3997 4568 5320 5710 7652 7994 9136 9565 10640 10849 11420 13391 15304 15988 19130 19985 21698 22840 26782 30608 31976 36347 38260 39970 43396 45680 53564 54245 63952 66955 72694 75943 76520 79940 86792 107128 108490 133910 145388 151886 153040 159880 173584 181735 214256 216980 254429 267820 290776 303772 319760 363470 379715 433960 508858 535640 581552 607544 726940 759430 867920 1017716 1071280 1092323 1215088 1272145 1453880 1518860 2035432 2184646 2544290 2907760 3037720 4070864 4369292 5088580 5461615 6075440 7646261 8738584 10177160 10923230 15292522 17477168 20354320 20754137 21846460 30585044 38231305 41508274 43692920 61170088 76462610 83016548 87385840 103770685 122340176 145278959 152925220 166033096 207541370 290557918 305850440 332066192 415082740 581115836 611700880 726394795 830165480 1162231672 1452789590 1660330960 2324463344 2905579180 5811158360 11622316720