Search a number
-
+
32425346016 = 2532744336307
BaseRepresentation
bin11110001100101100…
…111000001111100000
310002200210000020122100
4132030230320033200
51012401342033031
622521311410400
72225346615330
oct361454701740
9102623006570
1032425346016
111282a298428
12634b223a00
1330999b659b
1417d85c50c0
15c9ba09de6
hex78cb383e0

32425346016 has 144 divisors (see below), whose sum is σ = 105623167104. Its totient is φ = 9243217152.

The previous prime is 32425345961. The next prime is 32425346027. The reversal of 32425346016 is 61064352423.

32425346016 is a `hidden beast` number, since 3 + 2 + 42 + 5 + 3 + 4 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874935 + ... + 911241.

It is an arithmetic number, because the mean of its divisors is an integer number (733494216).

Almost surely, 232425346016 is an apocalyptic number.

32425346016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32425346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52811583552).

32425346016 is an abundant number, since it is smaller than the sum of its proper divisors (73197821088).

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

32425346016 is a wasteful number, since it uses less digits than its factorization.

32425346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36773 (or 36762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 32425346016 its reverse (61064352423), we get a palindrome (93489698439).

The spelling of 32425346016 in words is "thirty-two billion, four hundred twenty-five million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 443 504 672 886 1008 1329 1772 2016 2658 3101 3544 3987 5316 6202 7088 7974 9303 10632 12404 14176 15948 18606 21264 24808 27909 31896 36307 37212 42528 49616 55818 63792 72614 74424 99232 108921 111636 127584 145228 148848 217842 223272 254149 290456 297696 326763 435684 446544 508298 580912 653526 762447 871368 893088 1016596 1161824 1307052 1524894 1742736 2033192 2287341 2614104 3049788 3485472 4066384 4574682 5228208 6099576 8132768 9149364 10456416 12199152 16084001 18298728 24398304 32168002 36597456 48252003 64336004 73194912 96504006 112588007 128672008 144756009 193008012 225176014 257344016 289512018 337764021 386016024 450352028 514688032 579024036 675528042 772032048 900704056 1013292063 1158048072 1351056084 1544064096 1801408112 2026584126 2316096144 2702112168 3602816224 4053168252 4632192288 5404224336 8106336504 10808448672 16212673008 32425346016