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9689646096 = 24321326312
BaseRepresentation
bin10010000011000110…
…00100010000010000
3221000021210000121100
421001203010100100
5124321022133341
64241254424400
7462055430034
oct110143042020
927007700540
109689646096
114122609589
121a65062100
13bb5605a00
1467cc561c4
153baa063b6
hex2418c4410

9689646096 has 135 divisors (see below), whose sum is σ = 29410584957. Its totient is φ = 2976704640.

The previous prime is 9689646089. The next prime is 9689646097. The reversal of 9689646096 is 6906469869.

The square root of 9689646096 is 98436.

It is a perfect power (a square), and thus also a powerful number.

9689646096 is a `hidden beast` number, since 9 + 6 + 89 + 6 + 460 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1433379600 + 8256266496 = 37860^2 + 90864^2 .

It is not an unprimeable number, because it can be changed into a prime (9689646097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15355701 + ... + 15356331.

Almost surely, 29689646096 is an apocalyptic number.

9689646096 is the 98436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9689646096

9689646096 is an abundant number, since it is smaller than the sum of its proper divisors (19720938861).

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

9689646096 is a wasteful number, since it uses less digits than its factorization.

9689646096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The cubic root of 9689646096 is about 2131.9121518433.

The spelling of 9689646096 in words is "nine billion, six hundred eighty-nine million, six hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 631 676 936 1014 1262 1352 1521 1872 1893 2028 2524 2704 3042 3786 4056 5048 5679 6084 7572 8112 8203 10096 11358 12168 15144 16406 22716 24336 24609 30288 32812 45432 49218 65624 73827 90864 98436 106639 131248 147654 196872 213278 295308 319917 393744 398161 426556 590616 639834 796322 853112 959751 1181232 1194483 1279668 1592644 1706224 1919502 2388966 2559336 3185288 3583449 3839004 4777932 5118672 5176093 6370576 7166898 7678008 9555864 10352186 14333796 15356016 15528279 19111728 20704372 28667592 31056558 41408744 46584837 57335184 62113116 67289209 82817488 93169674 124226232 134578418 186339348 201867627 248452464 269156836 372678696 403735254 538313672 605602881 745357392 807470508 1076627344 1211205762 1614941016 2422411524 3229882032 4844823048 9689646096