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12084287972968 = 23194112041161039
BaseRepresentation
bin1010111111011001011110…
…1100010010011001101000
31120210020122210202202220001
42233312113230102121220
53040442110210113333
641411240101512344
72355026630656021
oct257662754223150
946706583682801
1012084287972968
113939a105844a2
1214320237126b4
1369870acc27c3
142dac5002dc48
1515e517a99b7d
hexafd97b12668

12084287972968 has 64 divisors (see below), whose sum is σ = 24434470368000. Its totient is φ = 5584024857600.

The previous prime is 12084287972959. The next prime is 12084287972969. The reversal of 12084287972968 is 86927978248021.

It is a self number, because there is not a number n which added to its sum of digits gives 12084287972968.

It is not an unprimeable number, because it can be changed into a prime (12084287972969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74958993 + ... + 75120031.

It is an arithmetic number, because the mean of its divisors is an integer number (381788599500).

Almost surely, 212084287972968 is an apocalyptic number.

It is an amenable number.

12084287972968 is an abundant number, since it is smaller than the sum of its proper divisors (12350182395032).

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

12084287972968 is a wasteful number, since it uses less digits than its factorization.

12084287972968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173146 (or 173142 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 73.

The spelling of 12084287972968 in words is "twelve trillion, eighty-four billion, two hundred eighty-seven million, nine hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1558 3116 6232 12041 24082 48164 96328 161039 228779 322078 457558 493681 644156 915116 987362 1288312 1830232 1974724 3059741 3949448 6119482 6602599 9379939 12238964 13205198 18759878 24477928 26410396 37519756 52820792 75039512 125449381 250898762 501797524 1003595048 1939070599 3878141198 7756282396 15512564792 36842341381 73684682762 79501894559 147369365524 159003789118 294738731048 318007578236 636015156472 1510535996621 3021071993242 6042143986484 12084287972968