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2712064212 = 223211133971327
BaseRepresentation
bin1010000110100110…
…1101000011010100
321000000020010200200
42201221231003110
521023242023322
61125040540500
7124131110514
oct24151550324
97000203620
102712064212
111171986a90
12638321730
13342b4ba30
141ba293844
1510d1698ac
hexa1a6d0d4

2712064212 has 144 divisors (see below), whose sum is σ = 8080380672. Its totient is φ = 756138240.

The previous prime is 2712064189. The next prime is 2712064231. The reversal of 2712064212 is 2124602172.

2712064212 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 0 + 642 + 12 = 666.

It is a super-2 number, since 2×27120642122 = 14710584580022361888, which contains 22 as substring.

It is a congruent number.

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, 2043093 + ... + 2044419.

Almost surely, 22712064212 is an apocalyptic number.

2712064212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712064212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040190336).

2712064212 is an abundant number, since it is smaller than the sum of its proper divisors (5368316460).

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

2712064212 is a wasteful number, since it uses less digits than its factorization.

2712064212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2712064212 is about 52077.4827732678. The cubic root of 2712064212 is about 1394.5475358442.

Adding to 2712064212 its reverse (2124602172), we get a palindrome (4836666384).

The spelling of 2712064212 in words is "two billion, seven hundred twelve million, sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 397 429 468 572 794 858 1191 1287 1327 1588 1716 2382 2574 2654 3573 3981 4367 4764 5148 5161 5308 7146 7962 8734 10322 11943 13101 14292 14597 15483 15924 17251 17468 20644 23886 26202 29194 30966 34502 39303 43791 46449 47772 51753 52404 56771 58388 61932 69004 78606 87582 92898 103506 113542 131373 155259 157212 170313 175164 185796 189761 207012 227084 262746 310518 340626 379522 510939 525492 526819 569283 621036 681252 759044 1021878 1053638 1138566 1580457 1707849 2043756 2107276 2277132 3160914 3415698 4741371 5795009 6321828 6831396 6848647 9482742 11590018 13697294 17385027 18965484 20545941 23180036 27394588 34770054 41091882 52155081 61637823 69540108 75335117 82183764 104310162 123275646 150670234 208620324 226005351 246551292 301340468 452010702 678016053 904021404 1356032106 2712064212