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212247532520000 = 26545938948041
BaseRepresentation
bin110000010000100110111010…
…110001111100001001000000
31000211111122222110211001020222
4300100212322301330021000
5210304430421311120000
62031225100444322212
762464243501123535
oct6020467261741100
91024448873731228
10212247532520000
11616a074490a12a
121b97abb1243368
139157b197861c3
143a5ab9a42ad8c
1519810a3373a85
hexc109bac7c240

212247532520000 has 140 divisors (see below), whose sum is σ = 527192488461276. Its totient is φ = 84755834880000.

The previous prime is 212247532519991. The next prime is 212247532520003. The reversal of 212247532520000 is 25235742212.

It can be written as a sum of positive squares in 10 ways, for example, as 98892841582144 + 113354690937856 = 9944488^2 + 10646816^2 .

It is not an unprimeable number, because it can be changed into a prime (212247532520003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19245980 + ... + 28194020.

Almost surely, 2212247532520000 is an apocalyptic number.

212247532520000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212247532520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263596244230638).

212247532520000 is an abundant number, since it is smaller than the sum of its proper divisors (314944955941276).

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

212247532520000 is an frugal number, since it uses more digits than its factorization.

212247532520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948666 (or 8948641 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 212247532520000 in words is "two hundred twelve trillion, two hundred forty-seven billion, five hundred thirty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 593 625 800 1000 1186 1250 1600 2000 2372 2500 2965 4000 4744 5000 5930 8000 9488 10000 11860 14825 18976 20000 23720 29650 37952 40000 47440 59300 74125 94880 118600 148250 189760 237200 296500 370625 474400 593000 741250 948800 1186000 1482500 2372000 2965000 4744000 5930000 8948041 11860000 17896082 23720000 35792164 44740205 71584328 89480410 143168656 178960820 223701025 286337312 357921640 447402050 572674624 715843280 894804100 1118505125 1431686560 1789608200 2237010250 2863373120 3579216400 4474020500 5306188313 5592525625 7158432800 8948041000 10612376626 11185051250 14316865600 17896082000 21224753252 22370102500 26530941565 35792164000 42449506504 44740205000 53061883130 71584328000 84899013008 89480410000 106123766260 132654707825 169798026016 178960820000 212247532520 265309415650 339596052032 357921640000 424495065040 530618831300 663273539125 848990130080 1061237662600 1326547078250 1697980260160 2122475325200 2653094156500 3316367695625 4244950650400 5306188313000 6632735391250 8489901300800 10612376626000 13265470782500 21224753252000 26530941565000 42449506504000 53061883130000 106123766260000 212247532520000