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668636906256 = 243211422119259
BaseRepresentation
bin10011011101011011101…
…11011000001100010000
32100220212110022011021100
421232231313120030100
541423332022000011
61231100105224400
766210305633304
oct11565567301420
92326773264240
10668636906256
11238627114110
12a9705192100
134b08a8789c7
142450dc33d04
15125d5978d56
hex9baddd8310

668636906256 has 60 divisors (see below), whose sum is σ = 2041368741360. Its totient is φ = 202617243840.

The previous prime is 668636906237. The next prime is 668636906263. The reversal of 668636906256 is 652609636866.

668636906256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 668636906193 and 668636906202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211058046 + ... + 211061213.

It is an arithmetic number, because the mean of its divisors is an integer number (34022812356).

Almost surely, 2668636906256 is an apocalyptic number.

668636906256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

668636906256 is an abundant number, since it is smaller than the sum of its proper divisors (1372731835104).

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

668636906256 is a wasteful number, since it uses less digits than its factorization.

668636906256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422119284 (or 422119275 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 668636906256 in words is "six hundred sixty-eight billion, six hundred thirty-six million, nine hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 422119259 844238518 1266357777 1688477036 2532715554 3376954072 3799073331 4643311849 5065431108 6753908144 7598146662 9286623698 10130862216 13929935547 15196293324 18573247396 20261724432 27859871094 30392586648 37146494792 41789806641 55719742188 60785173296 74292989584 83579613282 111439484376 167159226564 222878968752 334318453128 668636906256