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212887443852 = 223219974437243
BaseRepresentation
bin1100011001000100010…
…1001001100110001100
3202100111111021122221200
43012101011021212030
511441443141200402
6241444340425500
721244356262416
oct3062105114614
9670444248850
10212887443852
1182315459546
12353136a8290
13170c92a21b5
14a43790b9b6
15580ea9121c
hex319114998c

212887443852 has 144 divisors (see below), whose sum is σ = 573665688960. Its totient is φ = 66375189504.

The previous prime is 212887443827. The next prime is 212887443911. The reversal of 212887443852 is 258344788212.

It is a happy number.

212887443852 is a `hidden beast` number, since 2 + 12 + 88 + 74 + 438 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29388543 + ... + 29395785.

Almost surely, 2212887443852 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 212887443852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286832844480).

212887443852 is an abundant number, since it is smaller than the sum of its proper divisors (360778245108).

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

212887443852 is a wasteful number, since it uses less digits than its factorization.

212887443852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7807 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 212887443852 in words is "two hundred twelve billion, eight hundred eighty-seven million, four hundred forty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 443 582 684 873 886 1164 1329 1746 1772 1843 2658 3492 3686 3987 5316 5529 7243 7372 7974 8417 11058 14486 15948 16587 16834 21729 22116 25251 28972 33174 33668 42971 43458 50502 65187 66348 75753 85942 86916 101004 128913 130374 137617 151506 171884 257826 260748 275234 303012 386739 412851 515652 550468 702571 773478 816449 825702 1238553 1405142 1546956 1632898 1651404 2107713 2449347 2477106 2810284 3208649 3265796 4215426 4898694 4954212 6323139 6417298 7348041 8430852 9625947 9797388 12646278 12834596 13348849 14696082 19251894 25292556 26697698 28877841 29392164 38503788 40046547 53395396 57755682 60964331 80093094 115511364 120139641 121928662 160186188 182892993 240279282 243857324 311238953 365785986 480558564 548678979 622477906 731571972 933716859 1097357958 1244955812 1867433718 2194715916 2801150577 3734867436 5602301154 5913540107 11204602308 11827080214 17740620321 23654160428 35481240642 53221860963 70962481284 106443721926 212887443852