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828116641227816 = 233295737120137669
BaseRepresentation
bin1011110001001010101110111…
…0001110111010010000101000
311000121010011210120102110001100
42330102223232032322100220
51332020330340123242231
612053131311050321400
7336300311233664613
oct27422535616722050
94017104716373040
10828116641227816
1121a9553280203a6
1278a66677729260
13297100ab03b585
141086d0b89bb17a
1565b13331ec1e6
hex2f12aee3ba428

828116641227816 has 48 divisors (see below), whose sum is σ = 2242839348839700. Its totient is φ = 276035994807552.

The previous prime is 828116641227803. The next prime is 828116641227839. The reversal of 828116641227816 is 618722146611828.

828116641227816 is a `hidden beast` number, since 8 + 2 + 8 + 116 + 6 + 412 + 27 + 81 + 6 = 666.

828116641227816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 828104793776100 + 11847451716 = 28776810^2 + 108846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53175771 + ... + 66961898.

Almost surely, 2828116641227816 is an apocalyptic number.

It is an amenable number.

828116641227816 is an abundant number, since it is smaller than the sum of its proper divisors (1414722707611884).

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

828116641227816 is a wasteful number, since it uses less digits than its factorization.

828116641227816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120233418 (or 120233411 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 828116641227816 in words is "eight hundred twenty-eight trillion, one hundred sixteen billion, six hundred forty-one million, two hundred twenty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 95737 191474 287211 382948 574422 765896 861633 1148844 1723266 2297688 3446532 6893064 120137669 240275338 360413007 480550676 720826014 961101352 1081239021 1441652028 2162478042 2883304056 4324956084 8649912168 11501620017053 23003240034106 34504860051159 46006480068212 69009720102318 92012960136424 103514580153477 138019440204636 207029160306954 276038880409272 414058320613908 828116641227816