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2806163664 = 243591636079
BaseRepresentation
bin1010011101000010…
…1010100011010000
321020120021212212120
42213100222203100
521221334214124
61142241454240
7126352666113
oct24720524320
97216255776
102806163664
111210008327
12663941380
133594a7895
141c898a57a
15116555d79
hexa742a8d0

2806163664 has 80 divisors (see below), whose sum is σ = 7418572800. Its totient is φ = 913742208.

The previous prime is 2806163653. The next prime is 2806163687. The reversal of 2806163664 is 4663616082.

It is a congruent number.

It is an unprimeable number.

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, 458577 + ... + 464655.

It is an arithmetic number, because the mean of its divisors is an integer number (92732160).

Almost surely, 22806163664 is an apocalyptic number.

2806163664 is a gapful number since it is divisible by the number (24) 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 2806163664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709286400).

2806163664 is an abundant number, since it is smaller than the sum of its proper divisors (4612409136).

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

2806163664 is a wasteful number, since it uses less digits than its factorization.

2806163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2806163664 is about 52973.2353552244. The cubic root of 2806163664 is about 1410.4932070685.

The spelling of 2806163664 in words is "two billion, eight hundred six million, one hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 163 177 236 326 354 472 489 652 708 944 978 1304 1416 1956 2608 2832 3912 6079 7824 9617 12158 18237 19234 24316 28851 36474 38468 48632 57702 72948 76936 97264 115404 145896 153872 230808 291792 358661 461616 717322 990877 1075983 1434644 1981754 2151966 2869288 2972631 3963508 4303932 5738576 5945262 7927016 8607864 11890524 15854032 17215728 23781048 47562096 58461743 116923486 175385229 233846972 350770458 467693944 701540916 935387888 1403081832 2806163664