Search a number
-
+
2041657462500 = 22355373145963
BaseRepresentation
bin11101101101011100010…
…001001000111011100100
321020011212121201012120120
4131231130101020323210
5231422303302300000
64201531405001540
7300335114044035
oct35553421107344
97204777635516
102041657462500
11717953458a47
1228b82ab532b0
1311a6b1b1b676
1470b6122ca8c
15381952646a0
hex1db5c448ee4

2041657462500 has 144 divisors (see below), whose sum is σ = 5970457741248. Its totient is φ = 542978640000.

The previous prime is 2041657462459. The next prime is 2041657462511. The reversal of 2041657462500 is 52647561402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13914519 + ... + 14060481.

It is an arithmetic number, because the mean of its divisors is an integer number (41461512092).

Almost surely, 22041657462500 is an apocalyptic number.

2041657462500 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 2041657462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985228870624).

2041657462500 is an abundant number, since it is smaller than the sum of its proper divisors (3928800278748).

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

2041657462500 is a wasteful number, since it uses less digits than its factorization.

2041657462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146368 (or 146346 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2041657462500 in words is "two trillion, forty-one billion, six hundred fifty-seven million, four hundred sixty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 373 375 500 625 746 750 1119 1250 1492 1500 1865 1875 2238 2500 3125 3730 3750 4476 5595 6250 7460 7500 9325 9375 11190 12500 18650 18750 22380 27975 37300 37500 46625 55950 93250 111900 139875 145963 186500 233125 279750 291926 437889 466250 559500 583852 699375 729815 875778 932500 1165625 1398750 1459630 1751556 2189445 2331250 2797500 2919260 3496875 3649075 4378890 4662500 6993750 7298150 8757780 10947225 13987500 14596300 18245375 21894450 36490750 43788900 54444199 54736125 72981500 91226875 108888398 109472250 163332597 182453750 217776796 218944500 272220995 273680625 326665194 364907500 456134375 544441990 547361250 653330388 816662985 912268750 1088883980 1094722500 1361104975 1368403125 1633325970 1824537500 2722209950 2736806250 3266651940 4083314925 5444419900 5473612500 6805524875 8166629850 13611049750 16333259700 20416574625 27222099500 34027624375 40833149250 68055248750 81666298500 102082873125 136110497500 170138121875 204165746250 340276243750 408331492500 510414365625 680552487500 1020828731250 2041657462500