Search a number
-
+
266421021400 = 235219327125469
BaseRepresentation
bin1111100000011111101…
…1100010101011011000
3221110200100011011201001
43320013323202223120
513331112240141100
6322220411034344
725151106213502
oct3700773425330
9843610134631
10266421021400
11a2a967a2716
1243773a3b9b4
131c17b1369c1
14cc7565ad72
156de4776d6a
hex3e07ee2ad8

266421021400 has 96 divisors (see below), whose sum is σ = 624960446400. Its totient is φ = 105620889600.

The previous prime is 266421021397. The next prime is 266421021421. The reversal of 266421021400 is 4120124662.

It is a congruent number.

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, 10447866 + ... + 10473334.

It is an arithmetic number, because the mean of its divisors is an integer number (6510004650).

Almost surely, 2266421021400 is an apocalyptic number.

266421021400 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 266421021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480223200).

266421021400 is an abundant number, since it is smaller than the sum of its proper divisors (358539425000).

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

266421021400 is a wasteful number, since it uses less digits than its factorization.

266421021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25949 (or 25940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 266421021400 in words is "two hundred sixty-six billion, four hundred twenty-one million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 271 386 542 772 965 1084 1355 1544 1930 2168 2710 3860 4825 5420 6775 7720 9650 10840 13550 19300 25469 27100 38600 50938 52303 54200 101876 104606 127345 203752 209212 254690 261515 418424 509380 523030 636725 1018760 1046060 1273450 1307575 2092120 2546900 2615150 4915517 5093800 5230300 6902099 9831034 10460600 13804198 19662068 24577585 27608396 34510495 39324136 49155170 55216792 69020990 98310340 122887925 138041980 172552475 196620680 245775850 276083960 345104950 491551700 690209900 983103400 1332105107 1380419800 2664210214 5328420428 6660525535 10656840856 13321051070 26642102140 33302627675 53284204280 66605255350 133210510700 266421021400