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256274372045200 = 24523719987014251
BaseRepresentation
bin111010010001010010000110…
…111010010010100110010000
31020121101120221121201220111111
4322101102012322102212100
5232042244403220421300
62305014453215023104
7104660132562332215
oct7221220672224620
91217346847656444
10256274372045200
1174725394a62353
12248ab83480aa94
13accc753501342
14473da62633b0c
151e964404829ba
hexe91486e92990

256274372045200 has 120 divisors (see below), whose sum is σ = 635517290907200. Its totient is φ = 99238011840000.

The previous prime is 256274372045161. The next prime is 256274372045249. The reversal of 256274372045200 is 2540273472652.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40561926 + ... + 46452325.

Almost surely, 2256274372045200 is an apocalyptic number.

256274372045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256274372045200 is an abundant number, since it is smaller than the sum of its proper divisors (379242918862000).

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

256274372045200 is a wasteful number, since it uses less digits than its factorization.

256274372045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87014505 (or 87014494 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 256274372045200 in words is "two hundred fifty-six trillion, two hundred seventy-four billion, three hundred seventy-two million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 199 200 296 370 398 400 592 740 796 925 995 1480 1592 1850 1990 2960 3184 3700 3980 4975 7363 7400 7960 9950 14726 14800 15920 19900 29452 36815 39800 58904 73630 79600 117808 147260 184075 294520 368150 589040 736300 1472600 2945200 87014251 174028502 348057004 435071255 696114008 870142510 1392228016 1740285020 2175356275 3219527287 3480570040 4350712550 6439054574 6961140080 8701425100 12878109148 16097636435 17315835949 17402850200 25756218296 32195272870 34631671898 34805700400 51512436592 64390545740 69263343796 80488182175 86579179745 128781091480 138526687592 160976364350 173158359490 257562182960 277053375184 321952728700 346316718980 432895898725 640685930113 643905457400 692633437960 865791797450 1281371860226 1287810914800 1385266875920 1731583594900 2562743720452 3203429650565 3463167189800 5125487440904 6406859301130 6926334379600 10250974881808 12813718602260 16017148252825 25627437204520 32034296505650 51254874409040 64068593011300 128137186022600 256274372045200