Search a number
-
+
2001326208080 = 2451923543710529
BaseRepresentation
bin11101000111111000010…
…101100111010001010000
321002022202212100012102212
4131013320111213101100
5230242204002124310
64131221354131252
7264406505041643
oct35077025472120
97068685305385
102001326208080
11701837519621
12283a54120b28
13116955247394
146cc16a73a5a
15370d4648205
hex1d1f8567450

2001326208080 has 160 divisors (see below), whose sum is σ = 5112363859200. Its totient is φ = 725221195776.

The previous prime is 2001326208031. The next prime is 2001326208163. The reversal of 2001326208080 is 808026231002.

It is a super-2 number, since 2×20013262080802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190072256 + ... + 190082784.

It is an arithmetic number, because the mean of its divisors is an integer number (31952274120).

Almost surely, 22001326208080 is an apocalyptic number.

2001326208080 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 2001326208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556181929600).

2001326208080 is an abundant number, since it is smaller than the sum of its proper divisors (3111037651120).

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

2001326208080 is a wasteful number, since it uses less digits than its factorization.

2001326208080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16021 (or 16015 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2001326208080 in words is "two trillion, one billion, three hundred twenty-six million, two hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 5437 6992 8740 10529 10874 17480 21058 21748 27185 34960 42116 43496 52645 54370 84232 86992 103303 105290 108740 125051 168464 200051 206606 210580 217480 242167 250102 400102 413212 421160 434960 484334 500204 516515 625255 800204 826424 842320 968668 1000255 1000408 1033030 1210835 1250510 1600408 1652848 1937336 2000510 2000816 2066060 2375969 2421670 2501020 3200816 3874672 4001020 4132120 4601173 4751938 4843340 5002040 8002040 8264240 9202346 9503876 9686680 10004080 11879845 16004080 18404692 19007752 19373360 23005865 23759690 36809384 38015504 46011730 47519380 57246173 73618768 92023460 95038760 114492346 184046920 190077520 228984692 286230865 368093840 457969384 572461730 915938768 1087677287 1144923460 1316661979 2175354574 2289846920 2633323958 4350709148 4579693840 5266647916 5438386435 6583309895 8701418296 10533295832 10876772870 13166619790 17402836592 21066591664 21753545740 25016577601 26333239580 43507091480 50033155202 52666479160 87014182960 100066310404 105332958320 125082888005 200132620808 250165776010 400265241616 500331552020 1000663104040 2001326208080