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28614442752 = 28337591403
BaseRepresentation
bin11010101001100011…
…011011111100000000
32201212012010022011000
4122221203123330000
5432100244132002
621051214452000
72032043515230
oct325143337400
981765108130
1028614442752
111115411a3a5
125666b04000
13291030243c
141556415cc0
15b2718861c
hex6a98dbf00

28614442752 has 144 divisors (see below), whose sum is σ = 96706382080. Its totient is φ = 8175541248.

The previous prime is 28614442739. The next prime is 28614442763. The reversal of 28614442752 is 25724441682.

28614442752 is a `hidden beast` number, since 2 + 8 + 614 + 4 + 4 + 27 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 28614442698 and 28614442707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247318 + ... + 344085.

Almost surely, 228614442752 is an apocalyptic number.

It is an amenable number.

28614442752 is an abundant number, since it is smaller than the sum of its proper divisors (68091939328).

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

28614442752 is an equidigital number, since it uses as much as digits as its factorization.

28614442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591435 (or 591415 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 28614442752 in words is "twenty-eight billion, six hundred fourteen million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 591403 1182806 1774209 2365612 3548418 4139821 4731224 5322627 7096836 8279642 9462448 10645254 12419463 14193672 15967881 16559284 18924896 21290508 24838926 28387344 31935762 33118568 37258389 37849792 42581016 49677852 56774688 63871524 66237136 74516778 75699584 85162032 99355704 111775167 113549376 127743048 132474272 149033556 151399168 170324064 198711408 223550334 227098752 255486096 264948544 298067112 340648128 397422816 447100668 454197504 510972192 529897088 596134224 681296256 794845632 894201336 1021944384 1059794176 1192268448 1362592512 1589691264 1788402672 2043888768 2384536896 3179382528 3576805344 4087777536 4769073792 7153610688 9538147584 14307221376 28614442752