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2116800084 = 2237177272039
BaseRepresentation
bin111111000101011…
…1100111001010100
312110112010120211010
41332022330321110
513313400100314
6550014212220
7103312334550
oct17612747124
95415116733
102116800084
11996973263
124b0ab4070
13279720939
141611c0860
15c5c85059
hex7e2bce54

2116800084 has 96 divisors (see below), whose sum is σ = 5988003840. Its totient is φ = 568161792.

The previous prime is 2116800079. The next prime is 2116800113. The reversal of 2116800084 is 4800086112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037137 + ... + 1039175.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 22116800084 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 2116800084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994001920).

2116800084 is an abundant number, since it is smaller than the sum of its proper divisors (3871203756).

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

2116800084 is a wasteful number, since it uses less digits than its factorization.

2116800084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2116800084 is about 46008.6957433049. The cubic root of 2116800084 is about 1283.9849936620.

Adding to 2116800084 its reverse (4800086112), we get a palindrome (6916886196).

The spelling of 2116800084 in words is "two billion, one hundred sixteen million, eight hundred thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 727 1428 1454 2039 2181 2908 4078 4362 5089 6117 8156 8724 10178 12234 12359 14273 15267 20356 24468 24718 28546 30534 34663 37077 42819 49436 57092 61068 69326 74154 85638 86513 103989 138652 148308 171276 173026 207978 242641 259539 346052 415956 485282 519078 727923 970564 1038156 1455846 1482353 2911692 2964706 4447059 5929412 8894118 10376471 17788236 20752942 25200001 31129413 41505884 50400002 62258826 75600003 100800004 124517652 151200006 176400007 302400012 352800014 529200021 705600028 1058400042 2116800084