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2071833764 = 2271113677723
BaseRepresentation
bin111101101111101…
…1010110010100100
312100101112001121212
41323133122302210
513220342140024
6541330330552
7102225203450
oct17337326244
95311461555
102071833764
11973550410
12499a29a58
13270308750
14159237660
15c1d51a0e
hex7b7daca4

2071833764 has 96 divisors (see below), whose sum is σ = 4941382656. Its totient is φ = 733898880.

The previous prime is 2071833763. The next prime is 2071833791. The reversal of 2071833764 is 4673381702.

It is not an unprimeable number, because it can be changed into a prime (2071833763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264407 + ... + 272129.

It is an arithmetic number, because the mean of its divisors is an integer number (51472736).

Almost surely, 22071833764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071833764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470691328).

2071833764 is an abundant number, since it is smaller than the sum of its proper divisors (2869548892).

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

2071833764 is a wasteful number, since it uses less digits than its factorization.

2071833764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 2071833764 is about 45517.4006727098. The cubic root of 2071833764 is about 1274.8281227236.

The spelling of 2071833764 in words is "two billion, seventy-one million, eight hundred thirty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 67 77 91 134 143 154 182 268 286 308 364 469 572 737 871 938 1001 1474 1742 1876 2002 2948 3484 4004 5159 6097 7723 9581 10318 12194 15446 19162 20636 24388 30892 38324 54061 67067 84953 100399 108122 134134 169906 200798 216244 268268 339812 401596 517441 594671 702793 1034882 1104389 1189342 1405586 2069764 2208778 2378684 2811172 3622087 4417556 5691851 6726733 7244174 7730723 11383702 13453466 14488348 15461446 22767404 26906932 30922892 39842957 47087131 73994063 79685914 94174262 147988126 159371828 188348524 295976252 517958441 1035916882 2071833764