Search a number
-
+
10984368045000 = 233547104613029
BaseRepresentation
bin1001111111010111111101…
…0110101111101111001000
31102220002120111101002100010
42133311333112233233020
52414431441204420000
635210052104311520
72212410610564440
oct237657726575710
942802514332303
1010984368045000
113555498443839
121294a167725a0
13618a8a9a163c
1429d90944b120
15140ade163d50
hex9fd7f5afbc8

10984368045000 has 160 divisors (see below), whose sum is σ = 39217332686400. Its totient is φ = 2510712672000.

The previous prime is 10984368044977. The next prime is 10984368045017. The reversal of 10984368045000 is 54086348901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52201515 + ... + 52411514.

It is an arithmetic number, because the mean of its divisors is an integer number (245108329290).

Almost surely, 210984368045000 is an apocalyptic number.

10984368045000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10984368045000 is an abundant number, since it is smaller than the sum of its proper divisors (28232964641400).

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

10984368045000 is a wasteful number, since it uses less digits than its factorization.

10984368045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104613065 (or 104613046 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 10984368045000 in words is "ten trillion, nine hundred eighty-four billion, three hundred sixty-eight million, forty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3500 3750 4200 4375 5000 5250 7000 7500 8750 10500 13125 15000 17500 21000 26250 35000 52500 105000 104613029 209226058 313839087 418452116 523065145 627678174 732291203 836904232 1046130290 1255356348 1464582406 1569195435 2092260580 2196873609 2510712696 2615325725 2929164812 3138390870 3661456015 4184521160 4393747218 5230651450 5858329624 6276781740 7322912030 7845977175 8787494436 10461302900 10984368045 12553563480 13076628625 14645824060 15691954350 17574988872 18307280075 20922605800 21968736090 26153257250 29291648120 31383908700 36614560150 39229885875 43937472180 52306514500 54921840225 62767817400 65383143125 73229120300 78459771750 87874944360 91536400375 104613029000 109843680450 130766286250 146458240600 156919543500 183072800750 196149429375 219687360900 261532572500 274609201125 313839087000 366145601500 392298858750 439374721800 457682001875 523065145000 549218402250 732291203000 784597717500 915364003750 1098436804500 1373046005625 1569195435000 1830728007500 2196873609000 2746092011250 3661456015000 5492184022500 10984368045000