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9483968256 = 28371992849
BaseRepresentation
bin10001101010100100…
…11101111100000000
3220110221202111122120
420311102131330000
5123410343441011
64205030204240
7454010254140
oct106522357400
926427674576
109483968256
1140274a87a4
121a081b3680
13b81b11249
1465d7d6920
153a7929a06
hex23549df00

9483968256 has 144 divisors (see below), whose sum is σ = 30365664000. Its totient is φ = 2567061504.

The previous prime is 9483968231. The next prime is 9483968269. The reversal of 9483968256 is 6528693849.

It is a self number, because there is not a number n which added to its sum of digits gives 9483968256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55720 + ... + 148568.

Almost surely, 29483968256 is an apocalyptic number.

9483968256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9483968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182832000).

9483968256 is an abundant number, since it is smaller than the sum of its proper divisors (20881695744).

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

9483968256 is a wasteful number, since it uses less digits than its factorization.

9483968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92894 (or 92880 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The square root of 9483968256 is about 97385.6676107937. The cubic root of 9483968256 is about 2116.7197592431.

The spelling of 9483968256 in words is "nine billion, four hundred eighty-three million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 51072 92849 102144 185698 278547 371396 557094 649943 742792 1114188 1299886 1485584 1764131 1949829 2228376 2599772 2971168 3528262 3899658 4456752 5199544 5292393 5942336 7056524 7799316 8913504 10399088 10584786 11884672 12348917 14113048 15598632 17827008 20798176 21169572 23769344 24697834 28226096 31197264 35654016 37046751 41596352 42339144 49395668 56452192 62394528 71308032 74093502 83192704 84678288 98791336 112904384 124789056 148187004 166385408 169356576 197582672 225808768 249578112 296374008 338713152 395165344 451617536 499156224 592748016 677426304 790330688 1185496032 1354852608 1580661376 2370992064 3161322752 4741984128 9483968256