Search a number
-
+
32634044456 = 23139719716421
BaseRepresentation
bin11110011001001001…
…000000000000101000
310010020022201020002012
4132121021000000220
51013313303410311
622554124455052
72233462541516
oct363111000050
9103208636065
1032634044456
1112927081682
1263a90aa488
133100cc7ba0
1418181cd4b6
15caeed178b
hex799240028

32634044456 has 64 divisors (see below), whose sum is σ = 66917022480. Its totient is φ = 14830018560.

The previous prime is 32634044447. The next prime is 32634044467. The reversal of 32634044456 is 65444043623.

It can be written as a sum of positive squares in 8 ways, for example, as 8711235556 + 23922808900 = 93334^2 + 154670^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979126 + ... + 1995546.

Almost surely, 232634044456 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 32634044456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33458511240).

32634044456 is an abundant number, since it is smaller than the sum of its proper divisors (34282978024).

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

32634044456 is a wasteful number, since it uses less digits than its factorization.

32634044456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16734 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

The spelling of 32634044456 in words is "thirty-two billion, six hundred thirty-four million, forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 97 104 194 197 388 394 776 788 1261 1576 2522 2561 5044 5122 10088 10244 16421 19109 20488 32842 38218 65684 76436 131368 152872 213473 248417 426946 496834 853892 993668 1592837 1707784 1987336 3185674 3234937 6371348 6469874 12742696 12939748 20706881 25879496 41413762 42054181 82827524 84108362 165655048 168216724 313788889 336433448 627577778 1255155556 2510311112 4079255557 8158511114 16317022228 32634044456