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128536151085 = 3252856358913
BaseRepresentation
bin111011110110101011…
…0100000010000101101
3110021202220110000102100
41313231112200100231
54101220223313320
6135014303445313
712200150154156
oct1675526402055
9407686400370
10128536151085
114a56a340841
1220ab25b6839
13c17582c244
146314cd692d
1535245aa790
hex1ded5a042d

128536151085 has 12 divisors (see below), whose sum is σ = 222795995292. Its totient is φ = 68552613888.

The previous prime is 128536151069. The next prime is 128536151101. The reversal of 128536151085 is 580151635821.

128536151085 is a `hidden beast` number, since 1 + 2 + 8 + 53 + 6 + 1 + 510 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (128536151069) and next prime (128536151101).

It can be written as a sum of positive squares in 2 ways, for example, as 79441113609 + 49095037476 = 281853^2 + 221574^2 .

It is not a de Polignac number, because 128536151085 - 24 = 128536151069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2856358913 = 128536151085 / (1 + 2 + 8 + 5 + 3 + 6 + 1 + 5 + 1 + 0 + 8 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 128536151085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428179412 + ... + 1428179501.

It is an arithmetic number, because the mean of its divisors is an integer number (18566332941).

Almost surely, 2128536151085 is an apocalyptic number.

128536151085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128536151085 is a deficient number, since it is larger than the sum of its proper divisors (94259844207).

128536151085 is a wasteful number, since it uses less digits than its factorization.

128536151085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856358924 (or 2856358921 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 128536151085 in words is "one hundred twenty-eight billion, five hundred thirty-six million, one hundred fifty-one thousand, eighty-five".

Divisors: 1 3 5 9 15 45 2856358913 8569076739 14281794565 25707230217 42845383695 128536151085