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2081688800 = 25522602111
BaseRepresentation
bin111110000010100…
…0000110011100000
312101002001202012012
41330011000303200
513230403020200
6542321452052
7102405030362
oct17405006340
95332052165
102081688800
11979071674
124a11a1028
13272379329
1415a680d32
15c2b4ba35
hex7c140ce0

2081688800 has 36 divisors (see below), whose sum is σ = 5081924736. Its totient is φ = 832675200.

The previous prime is 2081688757. The next prime is 2081688823. The reversal of 2081688800 is 88861802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1300256 + ... + 1301855.

It is an arithmetic number, because the mean of its divisors is an integer number (141164576).

Almost surely, 22081688800 is an apocalyptic number.

2081688800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2081688800 is an abundant number, since it is smaller than the sum of its proper divisors (3000235936).

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

2081688800 is a wasteful number, since it uses less digits than its factorization.

2081688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602131 (or 2602118 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 2081688800 is about 45625.5279421510. The cubic root of 2081688800 is about 1276.8462398168.

The spelling of 2081688800 in words is "two billion, eighty-one million, six hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2602111 5204222 10408444 13010555 20816888 26021110 41633776 52042220 65052775 83267552 104084440 130105550 208168880 260211100 416337760 520422200 1040844400 2081688800