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85480831485 = 32572172280401
BaseRepresentation
bin100111110011100001…
…1011111100111111101
322011122022021011100200
41033213003133213331
52400031043101420
6103134102514113
76114203036100
oct1174703374775
9264568234320
1085480831485
1133285778985
1214697435939
1380a379697a
1441cca42737
152354753b90
hex13e70df9fd

85480831485 has 72 divisors (see below), whose sum is σ = 182496011256. Its totient is φ = 36778291200.

The previous prime is 85480831463. The next prime is 85480831511. The reversal of 85480831485 is 58413808458.

85480831485 is a `hidden beast` number, since 8 + 5 + 4 + 80 + 83 + 1 + 485 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42275883321 + 43204948164 = 205611^2 + 207858^2 .

It is not a de Polignac number, because 85480831485 - 25 = 85480831453 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102716 + ... + 1177685.

It is an arithmetic number, because the mean of its divisors is an integer number (2534666823).

Almost surely, 285480831485 is an apocalyptic number.

85480831485 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85480831485 is an abundant number, since it is smaller than the sum of its proper divisors (97015179771).

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

85480831485 is a wasteful number, since it uses less digits than its factorization.

85480831485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280443 (or 2280433 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 85480831485 in words is "eighty-five billion, four hundred eighty million, eight hundred thirty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1071 1785 2205 2499 4165 5355 7497 12495 37485 2280401 6841203 11402005 15962807 20523609 34206015 38766817 47888421 79814035 102618045 111739649 116300451 143665263 193834085 239442105 271367719 335218947 348901353 558698245 581502255 718326315 814103157 1005656841 1356838595 1676094735 1744506765 1899574033 2442309471 4070515785 5028284205 5698722099 9497870165 12211547355 17096166297 28493610495 85480831485