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999456768 = 215323389
BaseRepresentation
bin111011100100101…
…000000000000000
32120122122122221100
4323210220000000
54021330104033
6243101454400
733524146062
oct7344500000
92518578840
10999456768
11473192732
1223a871400
1312c0a9b4b
1496a49732
155cb25513
hex3b928000

999456768 has 96 divisors (see below), whose sum is σ = 2888127450. Its totient is φ = 333053952.

The previous prime is 999456767. The next prime is 999456781. The reversal of 999456768 is 867654999.

It is a happy number.

999456768 is a `hidden beast` number, since 9 + 9 + 9 + 4 + 567 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 585252864 + 414203904 = 24192^2 + 20352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9994567682 = 1997827662202011648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (999456763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293218 + ... + 296606.

Almost surely, 2999456768 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 999456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444063725).

999456768 is an abundant number, since it is smaller than the sum of its proper divisors (1888670682).

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

999456768 is an equidigital number, since it uses as much as digits as its factorization.

999456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3394 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 999456768 is about 31614.1861827883. The cubic root of 999456768 is about 999.8188898678.

The spelling of 999456768 in words is "nine hundred ninety-nine million, four hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3389 4096 4608 6144 6778 8192 9216 10167 12288 13556 16384 18432 20334 24576 27112 30501 32768 36864 40668 49152 54224 61002 73728 81336 98304 108448 122004 147456 162672 216896 244008 294912 325344 433792 488016 650688 867584 976032 1301376 1735168 1952064 2602752 3470336 3904128 5205504 6940672 7808256 10411008 13881344 15616512 20822016 27762688 31233024 41644032 55525376 62466048 83288064 111050752 124932096 166576128 249864192 333152256 499728384 999456768