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2006420203776 = 28318126215507
BaseRepresentation
bin11101001100100111111…
…101101010100100000000
321002210220212120222212010
4131030213331222210000
5230333122033010101
64133423044132520
7264646651223232
oct35144775524400
97083825528763
102006420203776
11703a10996a1a
12284a36097140
131172876c6811
146d17b402252
15372d196a2d6
hex1d327f6a900

2006420203776 has 144 divisors (see below), whose sum is σ = 5372530607808. Its totient is φ = 664737177600.

The previous prime is 2006420203727. The next prime is 2006420203787. The reversal of 2006420203776 is 6773020246002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364337215 + ... + 364342721.

It is an arithmetic number, because the mean of its divisors is an integer number (37309240332).

Almost surely, 22006420203776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006420203776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686265303904).

2006420203776 is an abundant number, since it is smaller than the sum of its proper divisors (3366110404032).

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

2006420203776 is a wasteful number, since it uses less digits than its factorization.

2006420203776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

Adding to 2006420203776 its reverse (6773020246002), we get a palindrome (8779440449778).

The spelling of 2006420203776 in words is "two trillion, six billion, four hundred twenty million, two hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1086 1448 2172 2621 2896 4344 5242 5507 5792 7863 8688 10484 11014 11584 15726 16521 17376 20968 22028 23168 31452 33042 34752 41936 44056 46336 62904 66084 69504 83872 88112 125808 132168 139008 167744 176224 251616 264336 335488 352448 474401 503232 528672 670976 704896 948802 996767 1006464 1057344 1409792 1423203 1897604 1993534 2012928 2114688 2846406 2990301 3795208 3987068 4229376 5692812 5980602 7590416 7974136 11385624 11961204 14433847 15180832 15948272 22771248 23922408 28867694 30361664 31896544 43301541 45542496 47844816 57735388 60723328 63793088 86603082 91084992 95689632 115470776 121446656 127586176 173206164 182169984 191379264 230941552 255172352 346412328 364339968 382758528 461883104 692824656 765517056 923766208 1385649312 1847532416 2612526307 2771298624 3695064832 5225052614 5542597248 7837578921 10450105228 11085194496 15675157842 20900210456 31350315684 41800420912 62700631368 83600841824 125401262736 167201683648 250802525472 334403367296 501605050944 668806734592 1003210101888 2006420203776