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9694396656 = 243378393821
BaseRepresentation
bin10010000011101010…
…01100000011110000
3221000121201101011000
421001311030003300
5124323231143111
64241544322000
7462144004050
oct110165140360
927017641130
109694396656
11412526376a
121a66773300
13bb65aa0a9
1467d731560
153bb143c56
hex241d4c0f0

9694396656 has 160 divisors (see below), whose sum is σ = 31847961600. Its totient is φ = 2765802240.

The previous prime is 9694396637. The next prime is 9694396667. The reversal of 9694396656 is 6566934969.

9694396656 is a `hidden beast` number, since 96 + 9 + 439 + 66 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9694396593 and 9694396602.

It is a congruent number.

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, 2535226 + ... + 2539046.

It is an arithmetic number, because the mean of its divisors is an integer number (199049760).

Almost surely, 29694396656 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 9694396656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923980800).

9694396656 is an abundant number, since it is smaller than the sum of its proper divisors (22153564944).

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

9694396656 is a wasteful number, since it uses less digits than its factorization.

9694396656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4672 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 63.

The square root of 9694396656 is about 98460.1272394059. The cubic root of 9694396656 is about 2132.2605003733.

The spelling of 9694396656 in words is "nine billion, six hundred ninety-four million, three hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 839 1008 1512 1678 2517 3024 3356 3821 5034 5873 6712 7551 7642 10068 11463 11746 13424 15102 15284 17619 20136 22653 22926 23492 26747 30204 30568 34389 35238 40272 45306 45852 46984 52857 53494 60408 61136 68778 70476 80241 90612 91704 93968 103167 105714 106988 120816 137556 140952 158571 160482 181224 183408 206334 211428 213976 240723 275112 281904 317142 320964 362448 412668 422856 427952 481446 550224 634284 641928 722169 825336 845712 962892 1268568 1283856 1444338 1650672 1925784 2537136 2888676 3205819 3851568 5777352 6411638 9617457 11554704 12823276 19234914 22440733 25646552 28852371 38469828 44881466 51293104 57704742 67322199 76939656 86557113 89762932 115409484 134644398 153879312 173114226 179525864 201966597 230818968 269288796 346228452 359051728 403933194 461637936 538577592 605899791 692456904 807866388 1077155184 1211799582 1384913808 1615732776 2423599164 3231465552 4847198328 9694396656