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1056281329296 = 243222932031821
BaseRepresentation
bin11110101111011110100…
…01011111111010010000
310201222110001200012000200
433113233101133322100
5114301231010014141
62125125434415200
7136212431105124
oct17275721377220
93658401605020
101056281329296
11377a6a300686
1215086a591500
13787b7495a5b
14391a5099584
151c7227b5ab6
hexf5ef45fe90

1056281329296 has 60 divisors (see below), whose sum is σ = 2969029581180. Its totient is φ = 350556238080.

The previous prime is 1056281329247. The next prime is 1056281329303. The reversal of 1056281329296 is 6929231826501.

1056281329296 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 28 + 1 + 329 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 764162698896 + 292118630400 = 874164^2 + 540480^2 .

It is a super-2 number, since 2×10562813292962 (a number of 25 digits) contains 22 as substring.

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, 15982935 + ... + 16048886.

It is an arithmetic number, because the mean of its divisors is an integer number (49483826353).

Almost surely, 21056281329296 is an apocalyptic number.

1056281329296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1056281329296 is an abundant number, since it is smaller than the sum of its proper divisors (1912748251884).

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

1056281329296 is a wasteful number, since it uses less digits than its factorization.

1056281329296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032064 (or 32032055 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1056281329296 in words is "one trillion, fifty-six billion, two hundred eighty-one million, three hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 32031821 64063642 96095463 128127284 192190926 256254568 288286389 384381852 512509136 576572778 768763704 1153145556 1537527408 2306291112 4612582224 7335287009 14670574018 22005861027 29341148036 44011722054 58682296072 66017583081 88023444108 117364592144 132035166162 176046888216 264070332324 352093776432 528140664648 1056281329296