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2163292096 = 26731532939
BaseRepresentation
bin1000000011110001…
…0011011111000000
312120202121121212111
42000330103133000
513412300321341
6554354505104
7104415452020
oct20074233700
95522547774
102163292096
11a10138409
12504595194
1328624b3c4
14167443a80
15c9dba681
hex80f137c0

2163292096 has 112 divisors (see below), whose sum is σ = 5161605120. Its totient is φ = 879989760.

The previous prime is 2163291967. The next prime is 2163292121. The reversal of 2163292096 is 6902923612.

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

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, 734595 + ... + 737533.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 22163292096 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 2163292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

2163292096 is an abundant number, since it is smaller than the sum of its proper divisors (2998313024).

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

2163292096 is a wasteful number, since it uses less digits than its factorization.

2163292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 2163292096 is about 46511.2039835565. The cubic root of 2163292096 is about 1293.3172034218.

The spelling of 2163292096 in words is "two billion, one hundred sixty-three million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 106 112 124 212 217 224 248 371 424 434 448 496 742 848 868 992 1484 1643 1696 1736 1984 2939 2968 3286 3392 3472 5878 5936 6572 6944 11501 11756 11872 13144 13888 20573 23002 23512 23744 26288 41146 46004 47024 52576 82292 91109 92008 94048 105152 155767 164584 182218 184016 188096 311534 329168 364436 368032 623068 637763 658336 728872 736064 1090369 1246136 1275526 1316672 1457744 2180738 2492272 2551052 2915488 4361476 4828777 4984544 5102104 5830976 8722952 9657554 9969088 10204208 17445904 19315108 20408416 33801439 34891808 38630216 40816832 67602878 69783616 77260432 135205756 154520864 270411512 309041728 540823024 1081646048 2163292096