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2016823072 = 251117932009
BaseRepresentation
bin111100000110110…
…0100011100100000
312012120000020010211
41320031210130200
513112301314242
6532043303504
7100656466435
oct17015443440
95176006124
102016823072
11945498030
1248351ab94
13261ab7744
14151bd7b8c
15bc0d7317
hex78364720

2016823072 has 48 divisors (see below), whose sum is σ = 4355920800. Its totient is φ = 911587840.

The previous prime is 2016823031. The next prime is 2016823073. The reversal of 2016823072 is 2703286102.

It is not an unprimeable number, because it can be changed into a prime (2016823073) 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 7 ways as a sum of consecutive naturals, for example, 47004 + ... + 79012.

It is an arithmetic number, because the mean of its divisors is an integer number (90748350).

Almost surely, 22016823072 is an apocalyptic number.

2016823072 is a gapful number since it is divisible by the number (22) 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 2016823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177960400).

2016823072 is an abundant number, since it is smaller than the sum of its proper divisors (2339097728).

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

2016823072 is a wasteful number, since it uses less digits than its factorization.

2016823072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32209 (or 32201 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2016823072 is about 44909.0533411694. The cubic root of 2016823072 is about 1263.4438147489.

The spelling of 2016823072 in words is "two billion, sixteen million, eight hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 352 358 716 1432 1969 2864 3938 5728 7876 15752 31504 32009 63008 64018 128036 256072 352099 512144 704198 1024288 1408396 2816792 5633584 5729611 11267168 11459222 22918444 45836888 63025721 91673776 126051442 183347552 252102884 504205768 1008411536 2016823072