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212264690422512 = 243713253919139581
BaseRepresentation
bin110000010000110110111001…
…011110001001001011110000
31000211120022021020102210200210
4300100312321132021023300
5210310221041222010022
62031241015205544120
762465421622650120
oct6020667136111360
91024508236383623
10212264690422512
11616a7a4a018252
121b98239b415040
1391596223b4440
143a5b947090c80
15198175983ba0c
hexc10db97892f0

212264690422512 has 160 divisors (see below), whose sum is σ = 675158707632640. Its totient is φ = 55959844654080.

The previous prime is 212264690422481. The next prime is 212264690422553. The reversal of 212264690422512 is 215224096462212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1520562 + ... + 20660142.

It is an arithmetic number, because the mean of its divisors is an integer number (4219741922704).

Almost surely, 2212264690422512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212264690422512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337579353816320).

212264690422512 is an abundant number, since it is smaller than the sum of its proper divisors (462894017210128).

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

212264690422512 is a wasteful number, since it uses less digits than its factorization.

212264690422512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19142151 (or 19142145 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 212264690422512 in words is "two hundred twelve trillion, two hundred sixty-four billion, six hundred ninety million, four hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2539 4368 5078 7617 10156 15234 17773 20312 30468 33007 35546 40624 53319 60936 66014 71092 99021 106638 121872 132028 142184 198042 213276 231049 264056 284368 396084 426552 462098 528112 693147 792168 853104 924196 1386294 1584336 1848392 2772588 3696784 5545176 11090352 19139581 38279162 57418743 76558324 114837486 133977067 153116648 229674972 248814553 267954134 306233296 401931201 459349944 497629106 535908268 746443659 803862402 918699888 995258212 1071816536 1492887318 1607724804 1741701871 1990516424 2143633072 2985774636 3215449608 3483403742 3981032848 5225105613 5971549272 6430899216 6966807484 10450211226 11943098544 13933614968 20900422452 27867229936 41800844904 48595396159 83601689808 97190792318 145786188477 194381584636 291572376954 340167773113 388763169272 583144753908 631740150067 680335546226 777526338544 1020503319339 1166289507816 1263480300134 1360671092452 1895220450201 2041006638678 2332579015632 2526960600268 2721342184904 3790440900402 4082013277356 4422181050469 5053921200536 5442684369808 7580881800804 8164026554712 8844362100938 10107842401072 13266543151407 15161763601608 16328053109424 17688724201876 26533086302814 30323527203216 35377448403752 53066172605628 70754896807504 106132345211256 212264690422512