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86060800305 = 32553136126513
BaseRepresentation
bin101000000100110011…
…1111001100100110001
322020010201120122000100
41100021213321210301
52402223031102210
6103311421343013
76134444506224
oct1201147714461
9266121518010
1086060800305
1133553095057
1214819707a69
13816699ab9c
144245a935bb
15238a6165c0
hex14099f9931

86060800305 has 48 divisors (see below), whose sum is σ = 152104030416. Its totient is φ = 44998287360.

The previous prime is 86060800303. The next prime is 86060800313. The reversal of 86060800305 is 50300806068.

It can be written as a sum of positive squares in 8 ways, for example, as 8264991744 + 77795808561 = 90912^2 + 278919^2 .

It is not a de Polignac number, because 86060800305 - 21 = 86060800303 is a prime.

It is a super-2 number, since 2×860608003052 (a number of 23 digits) contains 22 as substring.

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 86060800305.

It is not an unprimeable number, because it can be changed into a prime (86060800303) 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 47 ways as a sum of consecutive naturals, for example, 3232729 + ... + 3259241.

It is an arithmetic number, because the mean of its divisors is an integer number (3168833967).

Almost surely, 286060800305 is an apocalyptic number.

It is an amenable number.

86060800305 is a deficient number, since it is larger than the sum of its proper divisors (66043230111).

86060800305 is a wasteful number, since it uses less digits than its factorization.

86060800305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27938 (or 27935 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 86060800305 in words is "eighty-six billion, sixty million, eight hundred thousand, three hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 1361 2385 4083 6805 12249 20415 26513 61245 72133 79539 132565 216399 238617 360665 397695 649197 1081995 1193085 1405189 3245985 4215567 7025945 12646701 21077835 36084193 63233505 108252579 180420965 324757737 541262895 1623788685 1912462229 5737386687 9562311145 17212160061 28686933435 86060800305