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9326385648 = 2432617431429
BaseRepresentation
bin10001010111110010…
…10101100111110000
3220001222020110221200
420223321111213300
5123100023320043
64141240451200
7450054653466
oct105371254760
926058213850
109326385648
113a56557638
121983479b00
13b58288bb8
146468d6836
15398b9d7d3
hex22be559f0

9326385648 has 120 divisors (see below), whose sum is σ = 26583105120. Its totient is φ = 3051578880.

The previous prime is 9326385641. The next prime is 9326385659. The reversal of 9326385648 is 8465836239.

It is a junction number, because it is equal to n+sod(n) for n = 9326385594 and 9326385603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9326385641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6525798 + ... + 6527226.

It is an arithmetic number, because the mean of its divisors is an integer number (221525876).

Almost surely, 29326385648 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 9326385648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291552560).

9326385648 is an abundant number, since it is smaller than the sum of its proper divisors (17256719472).

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

9326385648 is a wasteful number, since it uses less digits than its factorization.

9326385648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2238 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 9326385648 is about 96573.2139260157. The cubic root of 9326385648 is about 2104.9306400227.

The spelling of 9326385648 in words is "nine billion, three hundred twenty-six million, three hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 743 976 1098 1429 1464 1486 2196 2229 2858 2928 2972 4287 4392 4458 5716 5944 6687 8574 8784 8916 11432 11888 12861 13374 17148 17832 22864 25722 26748 34296 35664 45323 51444 53496 68592 87169 90646 102888 106992 135969 174338 181292 205776 261507 271938 348676 362584 407907 523014 543876 697352 725168 784521 815814 1046028 1061747 1087752 1394704 1569042 1631628 2092056 2123494 2175504 3138084 3185241 3263256 4184112 4246988 6276168 6370482 6526512 8493976 9555723 12552336 12740964 16987952 19111446 25481928 38222892 50963856 64766567 76445784 129533134 152891568 194299701 259066268 388599402 518132536 582899103 777198804 1036265072 1165798206 1554397608 2331596412 3108795216 4663192824 9326385648