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86728556772 = 2232112131531549
BaseRepresentation
bin101000011000101101…
…1001100000011100100
322021212021002011200100
41100301123030003210
52410110002304042
6103501553544100
76160133366124
oct1206133140344
9267767064610
1086728556772
1133866011400
1214985275030
13824212b060
1442aa636c84
1523c906a24c
hex14316cc0e4

86728556772 has 108 divisors (see below), whose sum is σ = 259508895100. Its totient is φ = 24259720320.

The previous prime is 86728556771. The next prime is 86728556809. The reversal of 86728556772 is 27765582768.

86728556772 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 8 + 556 + 7 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40548265956 + 46180290816 = 201366^2 + 214896^2 .

It is not an unprimeable number, because it can be changed into a prime (86728556771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 709147 + ... + 822402.

Almost surely, 286728556772 is an apocalyptic number.

It is an amenable number.

86728556772 is an abundant number, since it is smaller than the sum of its proper divisors (172780338328).

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

86728556772 is a wasteful number, since it uses less digits than its factorization.

86728556772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531594 (or 1531578 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 86728556772 in words is "eighty-six billion, seven hundred twenty-eight million, five hundred fifty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 14157 18876 28314 56628 1531549 3063098 4594647 6126196 9189294 13783941 16847039 18378588 19910137 27567882 33694078 39820274 50541117 55135764 59730411 67388156 79640548 101082234 119460822 151623351 179191233 185317429 202164468 219011507 238921644 303246702 358382466 370634858 438023014 555952287 606493404 657034521 716764932 741269716 876046028 1111904574 1314069042 1667856861 1971103563 2223809148 2409126577 2628138084 3335713722 3942207126 4818253154 6671427444 7227379731 7884414252 9636506308 14454759462 21682139193 28909518924 43364278386 86728556772