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2806113856 = 2671332851
BaseRepresentation
bin1010011101000001…
…1110011001000000
321020120012100112211
42213100132121000
521221331120411
61142240431504
7126352400650
oct24720363100
97216170484
102806113856
11120aa83967
12663918594
1335948b000
141c8976360
15116546221
hexa741e640

2806113856 has 112 divisors (see below), whose sum is σ = 6896364160. Its totient is φ = 1109721600.

The previous prime is 2806113853. The next prime is 2806113889. The reversal of 2806113856 is 6583116082.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2806113851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982831 + ... + 985681.

It is an arithmetic number, because the mean of its divisors is an integer number (61574680).

Almost surely, 22806113856 is an apocalyptic number.

2806113856 is a gapful number since it is divisible by the number (26) 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 2806113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448182080).

2806113856 is an abundant number, since it is smaller than the sum of its proper divisors (4090250304).

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

2806113856 is an equidigital number, since it uses as much as digits as its factorization.

2806113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 2806113856 is about 52972.7652289363. The cubic root of 2806113856 is about 1410.4848618364.

The spelling of 2806113856 in words is "two billion, eight hundred six million, one hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2197 2366 2704 2851 2912 4394 4732 5408 5702 5824 8788 9464 10816 11404 15379 17576 18928 19957 22808 30758 35152 37063 37856 39914 45616 61516 70304 74126 75712 79828 91232 123032 140608 148252 159656 182464 246064 259441 296504 319312 481819 492128 518882 593008 638624 963638 984256 1037764 1186016 1277248 1927276 2075528 2372032 3372733 3854552 4151056 6263647 6745466 7709104 8302112 12527294 13490932 15418208 16604224 25054588 26981864 30836416 43845529 50109176 53963728 87691058 100218352 107927456 175382116 200436704 215854912 350764232 400873408 701528464 1403056928 2806113856