Search a number
-
+
6000000011000 = 235388317593863
BaseRepresentation
bin101011101001111101111…
…0111101000101011111000
3210020121001022120002222122
41113103323313220223320
51241301000000323000
620432210103140412
71156325410415222
oct127237367505370
923217038502878
106000000011000
111a0364964a746
1280aa0ba44708
13346a4a364ac8
1416a589bd3412
15a6118e8b085
hex574fbde8af8

6000000011000 has 128 divisors (see below), whose sum is σ = 14067531878400. Its totient is φ = 2395298908800.

The previous prime is 6000000010841. The next prime is 6000000011063. The reversal of 6000000011000 is 1100000006.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553195069 + ... + 1553198931.

It is an arithmetic number, because the mean of its divisors is an integer number (109902592800).

Almost surely, 26000000011000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033765939200).

6000000011000 is an abundant number, since it is smaller than the sum of its proper divisors (8067531867400).

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

6000000011000 is a wasteful number, since it uses less digits than its factorization.

6000000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 6000000011000 its reverse (1100000006), we get a palindrome (6001100011006).

The spelling of 6000000011000 in words is "six trillion, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 883 1000 1759 1766 3518 3532 3863 4415 7036 7064 7726 8795 8830 14072 15452 17590 17660 19315 22075 30904 35180 35320 38630 43975 44150 70360 77260 87950 88300 96575 110375 154520 175900 176600 193150 219875 220750 351800 386300 439750 441500 482875 772600 879500 883000 965750 1553197 1759000 1931500 3106394 3411029 3863000 6212788 6795017 6822058 7765985 12425576 13590034 13644116 15531970 17055145 27180068 27288232 31063940 33975085 34110290 38829925 54360136 62127880 67950170 68220580 77659850 85275725 135900340 136441160 155319700 169875425 170551450 194149625 271800680 310639400 339750850 341102900 388299250 426378625 679501700 682205800 776598500 849377125 852757250 1359003400 1553197000 1698754250 1705514500 3397508500 3411029000 6000000011 6795017000 12000000022 24000000044 30000000055 48000000088 60000000110 120000000220 150000000275 240000000440 300000000550 600000001100 750000001375 1200000002200 1500000002750 3000000005500 6000000011000