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28576516212 = 223237113373509
BaseRepresentation
bin11010100111010010…
…110000100001110100
32201202112202102201100
4122213102300201310
5432011042004322
621043341530100
72031103244226
oct324722604164
981675672640
1028576516212
1111134775652
125656273930
1329054b35ba
141551382416
15b23b95dac
hex6a74b0874

28576516212 has 144 divisors (see below), whose sum is σ = 75191996880. Its totient is φ = 9143414784.

The previous prime is 28576516183. The next prime is 28576516229. The reversal of 28576516212 is 21261567582.

28576516212 is a `hidden beast` number, since 2 + 8 + 576 + 5 + 1 + 62 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 243547236 + 28332968976 = 15606^2 + 168324^2 .

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, 56142214 + ... + 56142722.

It is an arithmetic number, because the mean of its divisors is an integer number (522166645).

Almost surely, 228576516212 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 28576516212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37595998440).

28576516212 is an abundant number, since it is smaller than the sum of its proper divisors (46615480668).

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

28576516212 is a wasteful number, since it uses less digits than its factorization.

28576516212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 28576516212 in words is "twenty-eight billion, five hundred seventy-six million, five hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 373 444 452 509 666 678 746 1017 1018 1119 1332 1356 1492 1527 2034 2036 2238 3054 3357 4068 4181 4476 4581 6108 6714 8362 9162 12543 13428 13801 16724 18324 18833 25086 27602 37629 37666 41403 42149 50172 55204 56499 57517 75258 75332 82806 84298 112998 115034 124209 126447 150516 165612 168596 169497 172551 189857 225996 230068 248418 252894 338994 345102 379341 379714 496836 505788 517653 569571 677988 690204 758682 759428 1035306 1139142 1517364 1559513 1708713 2070612 2128129 2278284 3119026 3417426 4256258 4678539 6238052 6384387 6834852 7024709 8512516 9357078 12768774 14035617 14049418 18714156 19153161 21074127 21453841 25537548 28071234 28098836 38306322 42148254 42907682 56142468 63222381 64361523 76612644 84296508 85815364 126444762 128723046 193084569 252889524 257446092 386169138 772338276 793792117 1587584234 2381376351 3175168468 4762752702 7144129053 9525505404 14288258106 28576516212