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9456984348 = 2237972275113
BaseRepresentation
bin10001100111010111…
…00010000100011100
3220102001222120200120
420303223202010130
5123331441444343
64202223554540
7453232016640
oct106353420434
926361876616
109456984348
114013248349
1219bb15ba50
13b79354036
14659db0c20
153a5399683
hex233ae211c

9456984348 has 96 divisors (see below), whose sum is σ = 25595856384. Its totient is φ = 2661838848.

The previous prime is 9456984343. The next prime is 9456984431. The reversal of 9456984348 is 8434896549.

It is a junction number, because it is equal to n+sod(n) for n = 9456984291 and 9456984300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9456984343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847040 + ... + 1852152.

It is an arithmetic number, because the mean of its divisors is an integer number (266623504).

Almost surely, 29456984348 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 9456984348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797928192).

9456984348 is an abundant number, since it is smaller than the sum of its proper divisors (16138872036).

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

9456984348 is a wasteful number, since it uses less digits than its factorization.

9456984348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5449 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 9456984348 is about 97247.0274507144. The cubic root of 9456984348 is about 2114.7103462404.

The spelling of 9456984348 in words is "nine billion, four hundred fifty-six million, nine hundred eighty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 227 291 388 454 582 679 681 908 1164 1358 1362 1589 2037 2716 2724 3178 4074 4767 5113 6356 8148 9534 10226 15339 19068 20452 22019 30678 35791 44038 61356 66057 71582 88076 107373 132114 143164 154133 214746 264228 308266 429492 462399 495961 616532 924798 991922 1160651 1487883 1849596 1983844 2321302 2975766 3471727 3481953 4642604 5951532 6943454 6963906 8124557 10415181 13886908 13927812 16249114 20830362 24373671 32498228 41660724 48747342 97494684 112583147 225166294 337749441 450332588 675498882 788082029 1350997764 1576164058 2364246087 3152328116 4728492174 9456984348