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212444646444212 = 2271323147793171697
BaseRepresentation
bin110000010011011110011111…
…101011111000110010110100
31000212012111202200102220001112
4300103132133223320302310
5210321143113442203322
62031455420120014152
762514422245622450
oct6023363753706264
91025174680386045
10212444646444212
11617672a5551926
121b9b1242301358
1391705a0b9b410
143a665390bd660
15198628d2595e2
hexc1379faf8cb4

212444646444212 has 96 divisors (see below), whose sum is σ = 477473578132992. Its totient is φ = 80388935294976.

The previous prime is 212444646444169. The next prime is 212444646444269.

212444646444212 is nontrivially palindromic in base 10.

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, 1237237148 + ... + 1237408844.

It is an arithmetic number, because the mean of its divisors is an integer number (4973683105552).

Almost surely, 2212444646444212 is an apocalyptic number.

It is an amenable number.

212444646444212 is an abundant number, since it is smaller than the sum of its proper divisors (265028931688780).

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

212444646444212 is a wasteful number, since it uses less digits than its factorization.

212444646444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319537 (or 319535 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 212444646444212 in words is "two hundred twelve trillion, four hundred forty-four billion, six hundred forty-six million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 147793 171697 295586 343394 591172 686788 1034551 1201879 1921309 2069102 2232061 2403758 3399239 3842618 3949031 4138204 4464122 4807516 6798478 7685236 7898062 8928244 13449163 13596956 15624427 15796124 23794673 26898326 27643217 31248854 44190107 47589346 51337403 53796652 55286434 62497708 88380214 95178692 102674806 110572868 176760428 205349612 309330749 359361821 618661498 718723642 1237322996 1437447284 25375614721 50751229442 101502458884 177629303047 329882991373 355258606094 583639138583 659765982746 710517212188 1167278277166 1319531965492 2309180939611 2334556554332 4085473970081 4618361879222 7587308801579 8170947940162 9236723758444 15174617603158 16341895880324 30349235206316 53111161611053 106222323222106 212444646444212