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86089505445 = 32519122292
BaseRepresentation
bin101000000101101010…
…1011001101010100101
322020012201121000001200
41100023111121222211
52402302403133240
6103314324513113
76135243502536
oct1201325315245
9266181530050
1086089505445
1133568310709
121482724b799
13816c90b688
14424980668d
15238cdd6930
hex140b559aa5

86089505445 has 54 divisors (see below), whose sum is σ = 150665079474. Its totient is φ = 45474563520.

The previous prime is 86089505429. The next prime is 86089505449. The reversal of 86089505445 is 54450598068.

86089505445 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 95 + 0 + 544 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47911080996 + 38178424449 = 218886^2 + 195393^2 .

It is not a de Polignac number, because 86089505445 - 24 = 86089505429 is a prime.

It is a super-2 number, since 2×860895054452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86089505391 and 86089505400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86089505449) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 375936591 + ... + 375936819.

Almost surely, 286089505445 is an apocalyptic number.

It is an amenable number.

86089505445 is a deficient number, since it is larger than the sum of its proper divisors (64575574029).

86089505445 is an equidigital number, since it uses as much as digits as its factorization.

86089505445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 86089505445 in words is "eighty-six billion, eighty-nine million, five hundred five thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 191 229 573 687 955 1145 1719 2061 2865 3435 8595 10305 36481 43739 52441 109443 131217 157323 182405 218695 262205 328329 393651 471969 547215 656085 786615 1641645 1968255 2359845 8354149 10016231 25062447 30048693 41770745 50081155 75187341 90146079 125312235 150243465 375936705 450730395 1913100121 5739300363 9565500605 17217901089 28696501815 86089505445