Search a number
-
+
20844551200 = 25521113917041
BaseRepresentation
bin10011011010011011…
…101001110000100000
31222210200200220200211
4103122123221300200
5320142201114300
613324215023504
71335355522204
oct233233516040
958720626624
1020844551200
118927229920
12405896ab94
131c72658a85
14101a52ab04
1581ee934ba
hex4da6e9c20

20844551200 has 144 divisors (see below), whose sum is σ = 55915483680. Its totient is φ = 7524864000.

The previous prime is 20844551197. The next prime is 20844551201. The reversal of 20844551200 is 215544802.

It is not an unprimeable number, because it can be changed into a prime (20844551201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214680 + ... + 1231720.

It is an arithmetic number, because the mean of its divisors is an integer number (388301970).

Almost surely, 220844551200 is an apocalyptic number.

20844551200 is a gapful number since it is divisible by the number (20) 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 20844551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27957741840).

20844551200 is an abundant number, since it is smaller than the sum of its proper divisors (35070932480).

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

20844551200 is a wasteful number, since it uses less digits than its factorization.

20844551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17211 (or 17198 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 20844551200 in words is "twenty billion, eight hundred forty-four million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 139 160 176 200 220 275 278 352 400 440 550 556 695 800 880 1100 1112 1390 1529 1760 2200 2224 2780 3058 3475 4400 4448 5560 6116 6950 7645 8800 11120 12232 13900 15290 17041 22240 24464 27800 30580 34082 38225 48928 55600 61160 68164 76450 85205 111200 122320 136328 152900 170410 187451 244640 272656 305800 340820 374902 426025 545312 611600 681640 749804 852050 937255 1223200 1363280 1499608 1704100 1874510 2368699 2726560 2999216 3408200 3749020 4686275 4737398 5998432 6816400 7498040 9372550 9474796 11843495 13632800 14996080 18745100 18949592 23686990 26055689 29992160 37490200 37899184 47373980 52111378 59217475 74980400 75798368 94747960 104222756 118434950 130278445 149960800 189495920 208445512 236869900 260556890 378991840 416891024 473739800 521113780 651392225 833782048 947479600 1042227560 1302784450 1894959200 2084455120 2605568900 4168910240 5211137800 10422275600 20844551200