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212427873486 = 233193741136483
BaseRepresentation
bin1100010111010110110…
…0000001110011001110
3202022022110112001221000
43011311230001303032
511440023013422421
6241331002321130
721230106063213
oct3056554016316
9668273461830
10212427873486
11820a9aa6524
12352057b91a6
131705500437a
14a3d287bb0a
1557d4562226
hex3175b01cce

212427873486 has 128 divisors (see below), whose sum is σ = 522788313600. Its totient is φ = 63677041920.

The previous prime is 212427873479. The next prime is 212427873487. The reversal of 212427873486 is 684378724212.

212427873486 is a `hidden beast` number, since 2 + 1 + 24 + 2 + 78 + 73 + 486 = 666.

212427873486 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212427873487) 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 63 ways as a sum of consecutive naturals, for example, 1488201 + ... + 1624683.

It is an arithmetic number, because the mean of its divisors is an integer number (4084283700).

Almost surely, 2212427873486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212427873486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261394156800).

212427873486 is an abundant number, since it is smaller than the sum of its proper divisors (310360440114).

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

212427873486 is a wasteful number, since it uses less digits than its factorization.

212427873486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136591 (or 136585 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 212427873486 in words is "two hundred twelve billion, four hundred twenty-seven million, eight hundred seventy-three thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 37 38 41 54 57 74 82 111 114 123 171 222 246 333 342 369 513 666 703 738 779 999 1026 1107 1406 1517 1558 1998 2109 2214 2337 3034 4218 4551 4674 6327 7011 9102 12654 13653 14022 18981 21033 27306 28823 37962 40959 42066 57646 81918 86469 136483 172938 259407 272966 409449 518814 778221 818898 1228347 1556442 2456694 2593177 3685041 5049871 5186354 5595803 7370082 7779531 10099742 11191606 15149613 15559062 16787409 23338593 30299226 33574818 45448839 46677186 50362227 70015779 90897678 95947549 100724454 106320257 136346517 140031558 151086681 191895098 207044711 212640514 272693034 287842647 302173362 318960771 414089422 575685294 621134133 637921542 863527941 956882313 1242268266 1727055882 1863402399 1913764626 2590583823 2870646939 3726804798 3933849509 5181167646 5590207197 5741293878 7867699018 11180414394 11801548527 23603097054 35404645581 70809291162 106213936743 212427873486