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212957232571860 = 223572322045262171
BaseRepresentation
bin110000011010111011111000…
…001100110010010111010100
31000221000111211200200010121220
4300122323320030302113110
5210403042403014244420
62032531111351410340
762566436514046620
oct6032737014622724
91027014750603556
10212957232571860
1161944723004307
121ba746563839b0
1391a9a1c7302aa
143a83283ad6180
15199478dcda840
hexc1aef83325d4

212957232571860 has 96 divisors (see below), whose sum is σ = 711091976620032. Its totient is φ = 46559593703040.

The previous prime is 212957232571801. The next prime is 212957232571873. The reversal of 212957232571860 is 68175232759212.

It is a happy number.

212957232571860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2129572325718603 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 212957232571794 and 212957232571803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11022621426 + ... + 11022640745.

It is an arithmetic number, because the mean of its divisors is an integer number (7407208089792).

Almost surely, 2212957232571860 is an apocalyptic number.

212957232571860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212957232571860 is an abundant number, since it is smaller than the sum of its proper divisors (498134744048172).

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

212957232571860 is a wasteful number, since it uses less digits than its factorization.

212957232571860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22045262213 (or 22045262211 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 212957232571860 in words is "two hundred twelve trillion, nine hundred fifty-seven billion, two hundred thirty-two million, five hundred seventy-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 22045262171 44090524342 66135786513 88181048684 110226310855 132271573026 154316835197 220452621710 264543146052 308633670394 330678932565 440905243420 462950505591 507041029933 617267340788 661357865130 771584175985 925901011182 1014082059866 1322715730260 1521123089799 1543168351970 1851802022364 2028164119732 2314752527955 2535205149665 3042246179598 3086336703940 3549287209531 4629505055910 5070410299330 6084492359196 7098574419062 7605615448995 9259010111820 10140820598660 10647861628593 14197148838124 15211230897990 17746436047655 21295723257186 30422461795980 35492872095310 42591446514372 53239308142965 70985744190620 106478616285930 212957232571860