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2812163328 = 28321393889
BaseRepresentation
bin1010011110011110…
…0011010100000000
321020222120200212100
42213213203110000
521224403211303
61143014230400
7126454664622
oct24747432400
97228520770
102812163328
111213435a27
12665955400
1335a7c8690
141c96acc12
15116d3d8a3
hexa79e3500

2812163328 has 108 divisors (see below), whose sum is σ = 8731957780. Its totient is φ = 865271808.

The previous prime is 2812163323. The next prime is 2812163351. The reversal of 2812163328 is 8233612182.

2812163328 is a `hidden beast` number, since 2 + 8 + 12 + 1 + 633 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 2657608704 = 12432^2 + 51552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2812163292 and 2812163301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812163323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16993 + ... + 76896.

Almost surely, 22812163328 is an apocalyptic number.

It is an amenable number.

2812163328 is an abundant number, since it is smaller than the sum of its proper divisors (5919794452).

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

2812163328 is a wasteful number, since it uses less digits than its factorization.

2812163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93924 (or 93907 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2812163328 is about 53029.8343199373. The cubic root of 2812163328 is about 1411.4977174327.

The spelling of 2812163328 in words is "two billion, eight hundred twelve million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 93889 187778 281667 375556 563334 751112 845001 1126668 1220557 1502224 1690002 2253336 2441114 3004448 3380004 3661671 4506672 4882228 6008896 6760008 7323342 9013344 9764456 10985013 12017792 13520016 14646684 18026688 19528912 21970026 24035584 27040032 29293368 36053376 39057824 43940052 54080064 58586736 72106752 78115648 87880104 108160128 117173472 156231296 175760208 216320256 234346944 312462592 351520416 468693888 703040832 937387776 1406081664 2812163328