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2008604900200 = 2352149271248719
BaseRepresentation
bin11101001110101010001…
…011100111101101101000
321010000120010111001221111
4131032222023213231220
5230402110323301300
64134423525520104
7265055046643453
oct35165213475550
97100503431844
102008604900200
11704932113758
12285345873034
131175451ca5b2
146d30761849a
15373ad6629ba
hex1d3aa2e7b68

2008604900200 has 96 divisors (see below), whose sum is σ = 4718715840000. Its totient is φ = 795101702400.

The previous prime is 2008604900189. The next prime is 2008604900213. The reversal of 2008604900200 is 20094068002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7951441 + ... + 8200159.

It is an arithmetic number, because the mean of its divisors is an integer number (49153290000).

Almost surely, 22008604900200 is an apocalyptic number.

2008604900200 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 2008604900200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359357920000).

2008604900200 is an abundant number, since it is smaller than the sum of its proper divisors (2710110939800).

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

2008604900200 is a wasteful number, since it uses less digits than its factorization.

2008604900200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249155 (or 249146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 2008604900200 its reverse (20094068002), we get a palindrome (2028698968202).

The spelling of 2008604900200 in words is "two trillion, eight billion, six hundred four million, nine hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 271 298 542 596 745 1084 1192 1355 1490 2168 2710 2980 3725 5420 5960 6775 7450 10840 13550 14900 27100 29800 40379 54200 80758 161516 201895 248719 323032 403790 497438 807580 994876 1009475 1243595 1615160 1989752 2018950 2487190 4037900 4974380 6217975 8075800 9948760 12435950 24871900 37059131 49743800 67402849 74118262 134805698 148236524 185295655 269611396 296473048 337014245 370591310 539222792 674028490 741182620 926478275 1348056980 1482365240 1685071225 1852956550 2696113960 3370142450 3705913100 6740284900 7411826200 10043024501 13480569800 20086049002 40172098004 50215122505 80344196008 100430245010 200860490020 251075612525 401720980040 502151225050 1004302450100 2008604900200