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9766098056 = 23111383163631
BaseRepresentation
bin10010001100001101…
…01101010010001000
3221012121122011222102
421012012231102020
5130000110114211
64253025212532
7464004315041
oct110606552210
927177564872
109766098056
114161787020
121a86791148
13bc83c3160
146890778c8
153c25a8a3b
hex2461ad488

9766098056 has 128 divisors (see below), whose sum is σ = 21940208640. Its totient is φ = 4017081600.

The previous prime is 9766098049. The next prime is 9766098107. The reversal of 9766098056 is 6508906679.

It is a junction number, because it is equal to n+sod(n) for n = 9766097992 and 9766098010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15476861 + ... + 15477491.

It is an arithmetic number, because the mean of its divisors is an integer number (171407880).

Almost surely, 29766098056 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 9766098056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970104320).

9766098056 is an abundant number, since it is smaller than the sum of its proper divisors (12174110584).

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

9766098056 is a wasteful number, since it uses less digits than its factorization.

9766098056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The square root of 9766098056 is about 98823.5703463501. The cubic root of 9766098056 is about 2137.5044464689.

The spelling of 9766098056 in words is "nine billion, seven hundred sixty-six million, ninety-eight thousand, fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 143 163 166 286 326 332 572 631 652 664 913 1079 1144 1262 1304 1793 1826 2119 2158 2524 3586 3652 4238 4316 5048 6941 7172 7304 8203 8476 8632 11869 13529 13882 14344 16406 16952 23309 23738 27058 27764 32812 46618 47476 52373 54116 55528 65624 90233 93236 94952 102853 104746 108232 148819 175877 180466 186472 205706 209492 297638 351754 360932 411412 418984 576103 595276 680849 703508 721864 822824 1131383 1152206 1190552 1337089 1361698 1407016 1934647 2262766 2304412 2674178 2723396 3869294 4525532 4608824 5348356 5446792 7489339 7738588 8536799 9051064 10696712 14707979 14978678 15477176 17073598 29415958 29957356 34147196 58831916 59914712 68294392 93904789 110978387 117663832 187809578 221956774 375619156 443913548 751238312 887827096 1220762257 2441524514 4883049028 9766098056