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86555370564 = 223213214226721
BaseRepresentation
bin101000010011100011…
…0100010010001000100
322021102012012101212100
41100213012202101010
52404231133324224
6103432445552100
76152631340065
oct1204706422104
9267365171770
1086555370564
1133787283003
1214937275630
1382152a1700
14429163456c
1523b8c5aac9
hex14271a2444

86555370564 has 54 divisors (see below), whose sum is σ = 236917601466. Its totient is φ = 26632419840.

The previous prime is 86555370557. The next prime is 86555370569. The reversal of 86555370564 is 46507355568.

It is a happy number.

86555370564 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 5 + 3 + 70 + 564 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5927768064 + 80627602500 = 76992^2 + 283950^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86555370564.

It is not an unprimeable number, because it can be changed into a prime (86555370569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7107277 + ... + 7119444.

Almost surely, 286555370564 is an apocalyptic number.

It is an amenable number.

86555370564 is an abundant number, since it is smaller than the sum of its proper divisors (150362230902).

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

86555370564 is a wasteful number, since it uses less digits than its factorization.

86555370564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14226757 (or 14226739 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 86555370564 in words is "eighty-six billion, five hundred fifty-five million, three hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 14226721 28453442 42680163 56906884 85360326 128040489 170720652 184947373 256080978 369894746 512161956 554842119 739789492 1109684238 1664526357 2219368476 2404315849 3329052714 4808631698 6658105428 7212947547 9617263396 14425895094 21638842641 28851790188 43277685282 86555370564