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9683988006 = 2371147895011
BaseRepresentation
bin10010000010011010…
…11110111000100110
3220222220010120011110
421001031132320212
5124313100104011
64240533245450
7461656353120
oct110115367046
926886116143
109683988006
11411a3a4580
121a63193886
13bb43a4524
1467c1c2210
153ba289ba6
hex24135ee26

9683988006 has 128 divisors (see below), whose sum is σ = 24942919680. Its totient is φ = 2433657600.

The previous prime is 9683987981. The next prime is 9683988007. The reversal of 9683988006 is 6008893869.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9683988007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930041 + ... + 1935051.

It is an arithmetic number, because the mean of its divisors is an integer number (194866560).

Almost surely, 29683988006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9683988006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471459840).

9683988006 is an abundant number, since it is smaller than the sum of its proper divisors (15258931674).

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

9683988006 is a wasteful number, since it uses less digits than its factorization.

9683988006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170.

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 9683988006 is about 98407.2558605309. The cubic root of 9683988006 is about 2131.4971074626.

The spelling of 9683988006 in words is "nine billion, six hundred eighty-three million, nine hundred eighty-eight thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 89 94 141 154 178 231 267 282 329 462 517 534 623 658 979 987 1034 1246 1551 1869 1958 1974 2937 3102 3619 3738 4183 5011 5874 6853 7238 8366 10022 10857 12549 13706 15033 20559 21714 25098 29281 30066 35077 41118 46013 55121 58562 70154 87843 92026 105231 110242 138039 165363 175686 210462 235517 276078 322091 330726 385847 445979 471034 644182 706551 771694 891958 966273 1157541 1337937 1413102 1648619 1932546 2315082 2590687 2675874 3121853 3297238 4905769 4945857 5181374 6243706 7772061 9365559 9811538 9891714 14717307 15544122 18134809 18731118 20961013 29434614 34340383 36269618 41922026 54404427 62883039 68680766 103021149 108808854 125766078 146727091 206042298 230571143 293454182 440181273 461142286 691713429 880362546 1383426858 1613998001 3227996002 4841994003 9683988006