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9988730766 = 23271723202751
BaseRepresentation
bin10010100110101111…
…11110111110001110
3221210010120002122100
421103113332332032
5130424103341031
64331101055530
7502346545020
oct112327767616
927703502570
109988730766
1142664182a3
121b292575a6
13c32572ca1
146aa86c010
153d6dd3de6
hex2535fef8e

9988730766 has 96 divisors (see below), whose sum is σ = 27327725568. Its totient is φ = 2569248000.

The previous prime is 9988730669. The next prime is 9988730777. The reversal of 9988730766 is 6670378899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52110 + ... + 150641.

It is an arithmetic number, because the mean of its divisors is an integer number (284663808).

Almost surely, 29988730766 is an apocalyptic number.

9988730766 is an abundant number, since it is smaller than the sum of its proper divisors (17338994802).

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

9988730766 is a wasteful number, since it uses less digits than its factorization.

9988730766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202806 (or 202803 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 9988730766 is about 99943.6379465947. The cubic root of 9988730766 is about 2153.6250915485.

The spelling of 9988730766 in words is "nine billion, nine hundred eighty-eight million, seven hundred thirty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 306 322 357 391 414 483 714 782 966 1071 1173 1449 2142 2346 2737 2898 3519 5474 7038 8211 16422 24633 49266 202751 405502 608253 1216506 1419257 1824759 2838514 3446767 3649518 4257771 4663273 6893534 8515542 9326546 10340301 12773313 13989819 20680602 24127369 25546626 27979638 31020903 32642911 41969457 48254738 62041806 65285822 72382107 79275641 83938914 97928733 144764214 158551282 195857466 217146321 237826923 293786199 434292642 475653846 554929487 587572398 713480769 1109858974 1426961538 1664788461 3329576922 4994365383 9988730766