Search a number
-
+
32540005212 = 223111343143997
BaseRepresentation
bin11110010011100010…
…010001001101011100
310002222202202112111020
4132103202101031130
51013120220131322
622540525124140
72231241323601
oct362342211534
9102882675436
1032540005212
1112888a915a0
1263816b9650
1330b7690570
1418099106a8
15ca6b0805c
hex79389135c

32540005212 has 96 divisors (see below), whose sum is σ = 89409567744. Its totient is φ = 9080774400.

The previous prime is 32540005189. The next prime is 32540005217. The reversal of 32540005212 is 21250004523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32540005217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 717598 + ... + 761594.

It is an arithmetic number, because the mean of its divisors is an integer number (931349664).

Almost surely, 232540005212 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 32540005212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44704783872).

32540005212 is an abundant number, since it is smaller than the sum of its proper divisors (56869562532).

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

32540005212 is a wasteful number, since it uses less digits than its factorization.

32540005212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44459 (or 44457 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 32540005212 its reverse (21250004523), we get a palindrome (53790009735).

The spelling of 32540005212 in words is "thirty-two billion, five hundred forty million, five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 431 572 858 862 1293 1716 1724 2586 4741 5172 5603 9482 11206 14223 16809 18964 22412 28446 33618 43997 56892 61633 67236 87994 123266 131991 175988 184899 246532 263982 369798 483967 527964 571961 739596 967934 1143922 1451901 1715883 1935868 2287844 2903802 3431766 5807604 6291571 6863532 12583142 18874713 18962707 25166284 37749426 37925414 56888121 75498852 75850828 113776242 208589777 227552484 246515191 417179554 493030382 625769331 739545573 834359108 986060764 1251538662 1479091146 2503077324 2711667101 2958182292 5423334202 8135001303 10846668404 16270002606 32540005212