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9821341332 = 22321161340459
BaseRepresentation
bin10010010010110010…
…11100011010010100
3221100110120211111200
421021121130122110
5130103230410312
64302321232500
7465245011125
oct111131343224
927313524450
109821341332
11418a989120
121aa1192730
13c06995c9a
1469253804c
153c736c0dc
hex24965c694

9821341332 has 72 divisors (see below), whose sum is σ = 27127944480. Its totient is φ = 2971235520.

The previous prime is 9821341273. The next prime is 9821341339. The reversal of 9821341332 is 2331431289.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821341339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222519 + ... + 262977.

Almost surely, 29821341332 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 9821341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563972240).

9821341332 is an abundant number, since it is smaller than the sum of its proper divisors (17306603148).

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

9821341332 is a wasteful number, since it uses less digits than its factorization.

9821341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41093 (or 41088 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9821341332 is about 99102.6807508253. The cubic root of 9821341332 is about 2141.5272333946.

It can be divided in two parts, 9821 and 341332, that added together give a palindrome (351153).

The spelling of 9821341332 in words is "nine billion, eight hundred twenty-one million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 613 1226 1839 2452 3678 5517 6743 7356 11034 13486 20229 22068 26972 40458 40459 60687 80916 80918 121374 121377 161836 242748 242754 364131 445049 485508 728262 890098 1335147 1456524 1780196 2670294 4005441 5340588 8010882 16021764 24801367 49602734 74404101 99205468 148808202 223212303 272815037 297616404 446424606 545630074 818445111 892849212 1091260148 1636890222 2455335333 3273780444 4910670666 9821341332