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20080084800 = 263524183351
BaseRepresentation
bin10010101100110111…
…011100011101000000
31220211102012222221110
4102230313130131000
5312111000203200
613120305523320
71310413622166
oct225467343500
956742188843
1020080084800
118574758a06
123a84943540
131b801677a9
14d86bb1236
157c7cd9b50
hex4acddc740

20080084800 has 84 divisors (see below), whose sum is σ = 65879427296. Its totient is φ = 5354688000.

The previous prime is 20080084799. The next prime is 20080084813. The reversal of 20080084800 is 848008002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2086876 + ... + 2096475.

Almost surely, 220080084800 is an apocalyptic number.

20080084800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20080084800 is an abundant number, since it is smaller than the sum of its proper divisors (45799342496).

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

20080084800 is a wasteful number, since it uses less digits than its factorization.

20080084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183376 (or 4183361 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 20080084800 in words is "twenty billion, eighty million, eighty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 4183351 8366702 12550053 16733404 20916755 25100106 33466808 41833510 50200212 62750265 66933616 83667020 100400424 104583775 125500530 133867232 167334040 200800848 209167550 251001060 267734464 313751325 334668080 401601696 418335100 502002120 627502650 669336160 803203392 836670200 1004004240 1255005300 1338672320 1673340400 2008008480 2510010600 3346680800 4016016960 5020021200 6693361600 10040042400 20080084800