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168471968256 = 293312186919
BaseRepresentation
bin1001110011100110110…
…1100011101000000000
3121002212002201201122000
42130321231203220000
510230012310441011
6205221150544000
715112615050054
oct2347155435000
9532762651560
10168471968256
11654a3041319
1228798b08000
1312b6b4cb9a7
148222b57c64
1545b0615356
hex2739b63a00

168471968256 has 80 divisors (see below), whose sum is σ = 498688766400. Its totient is φ = 56157318144.

The previous prime is 168471968219. The next prime is 168471968257. The reversal of 168471968256 is 652869174861.

It is a super-3 number, since 3×1684719682563 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168471968193 and 168471968202.

It is not an unprimeable number, because it can be changed into a prime (168471968257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6079636 + ... + 6107283.

It is an arithmetic number, because the mean of its divisors is an integer number (6233609580).

Almost surely, 2168471968256 is an apocalyptic number.

168471968256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168471968256 is an abundant number, since it is smaller than the sum of its proper divisors (330216798144).

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

168471968256 is an equidigital number, since it uses as much as digits as its factorization.

168471968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186946 (or 12186924 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 168471968256 in words is "one hundred sixty-eight billion, four hundred seventy-one million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 12186919 24373838 36560757 48747676 73121514 97495352 109682271 146243028 194990704 219364542 292486056 329046813 389981408 438729084 584972112 658093626 779962816 877458168 1169944224 1316187252 1559925632 1754916336 2339888448 2632374504 3119851264 3509832672 4679776896 5264749008 6239702528 7019665344 9359553792 10529498016 14039330688 18719107584 21058996032 28078661376 42117992064 56157322752 84235984128 168471968256