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212261742437208 = 2331792691721106727
BaseRepresentation
bin110000010000110100001001…
…110000011110001101011000
31000211120000122210021122002220
4300100310021300132031120
5210310144022030442313
62031235410500224040
762465255565332562
oct6020641160361530
91024500583248086
10212261742437208
11616a6776a54262
121b9818b809b020
139159272712339
143a5b747748332
151981635b1e823
hexc10d09c1e358

212261742437208 has 128 divisors (see below), whose sum is σ = 535918856256000. Its totient is φ = 70055697751040.

The previous prime is 212261742437189. The next prime is 212261742437287. The reversal of 212261742437208 is 802734247162212.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1988775541 + ... + 1988882267.

It is an arithmetic number, because the mean of its divisors is an integer number (4186866064500).

Almost surely, 2212261742437208 is an apocalyptic number.

It is an amenable number.

212261742437208 is an abundant number, since it is smaller than the sum of its proper divisors (323657113818792).

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

212261742437208 is a wasteful number, since it uses less digits than its factorization.

212261742437208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108905 (or 108901 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 212261742437208 in words is "two hundred twelve trillion, two hundred sixty-one billion, seven hundred forty-two million, four hundred thirty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 179 269 358 537 538 716 807 1074 1076 1432 1614 1721 2148 2152 3228 3442 4296 5163 6456 6884 10326 13768 20652 41304 48151 96302 106727 144453 192604 213454 288906 308059 320181 385208 426908 462949 577812 616118 640362 853816 924177 925898 1155624 1232236 1280724 1388847 1848354 1851796 2464472 2561448 2777694 3696708 3703592 5555388 7393416 11110776 19104133 28709563 38208266 57312399 57419126 76416532 82867871 86128689 114624798 114838252 152833064 165735742 172257378 183677167 229249596 229676504 248603613 331471484 344514756 367354334 458499192 497207226 551031501 662942968 689029512 734708668 994414452 1102063002 1469417336 1988828904 2204126004 4408252008 5139011777 10278023554 15417035331 20556047108 30834070662 32878212893 41112094216 49409157923 61668141324 65756425786 98634638679 98818315846 123336282648 131512851572 148227473769 197269277358 197636631692 263025703144 296454947538 394538554716 395273263384 592909895076 789077109432 1185819790152 8844239268217 17688478536434 26532717804651 35376957072868 53065435609302 70753914145736 106130871218604 212261742437208