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32831433136384 = 28157222812
BaseRepresentation
bin1110111011100001010011…
…11010001101100100000000
311022020122200000200010100021
413131300221322031210000
513300402233340331014
6153454315133503224
76625664343061321
oct735605172154400
9138218600603307
1032831433136384
11a5088071011a3
123822b50641b14
131541cb5bc626c
1481709aaa6448
153be04a910624
hex1ddc29e8d900

32831433136384 has 81 divisors (see below), whose sum is σ = 65983622644611. Its totient is φ = 16304006983680.

The previous prime is 32831433136373. The next prime is 32831433136391. The reversal of 32831433136384 is 48363133413823.

The square root of 32831433136384 is 5729872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 403783993600 + 32427649142784 = 635440^2 + 5694528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14393437324 + ... + 14393439604.

Almost surely, 232831433136384 is an apocalyptic number.

32831433136384 is the 5729872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32831433136384

32831433136384 is an abundant number, since it is smaller than the sum of its proper divisors (33152189508227).

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

32831433136384 is an frugal number, since it uses more digits than its factorization.

32831433136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 2440 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 52.

The spelling of 32831433136384 in words is "thirty-two trillion, eight hundred thirty-one billion, four hundred thirty-three million, one hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1256 2281 2512 4562 5024 9124 10048 18248 20096 24649 36496 40192 49298 72992 98596 145984 197192 291968 358117 394384 583936 716234 788768 1432468 1577536 2864936 3155072 5202961 5729872 6310144 10405922 11459744 20811844 22919488 41623688 45838976 56224369 83247376 91677952 112448738 166494752 224897476 332989504 449794952 665979008 816864877 899589904 1331958016 1633729754 1799179808 3267459508 3598359616 6534919016 7196719232 13069838032 14393438464 26139676064 52279352128 104558704256 128247785689 209117408512 256495571378 512991142756 1025982285512 2051964571024 4103929142048 8207858284096 16415716568192 32831433136384