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86749688089 = 31329412
BaseRepresentation
bin101000011001010101…
…1110011000100011001
322021220201211202101201
41100302223303010121
52410130410004324
6103504030514201
76160511116351
oct1206253630431
9267821752351
1086749688089
1133876a346a9
1214990365961
1382466193ac
1442ad377b61
1523cad41444
hex1432af3119

86749688089 has 9 divisors (see below), whose sum is σ = 87120311709. Its totient is φ = 86380638240.

The previous prime is 86749688033. The next prime is 86749688111. The reversal of 86749688089 is 98088694768.

The square root of 86749688089 is 294533.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26385129225 + 60364558864 = 162435^2 + 245692^2 .

It is not a de Polignac number, because 86749688089 - 213 = 86749679897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86749688689) 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 8 ways as a sum of consecutive naturals, for example, 92188359 + ... + 92189299.

Almost surely, 286749688089 is an apocalyptic number.

86749688089 is the 294533-rd square number.

86749688089 is the 147267-th centered octagonal number.

It is an amenable number.

86749688089 is a deficient number, since it is larger than the sum of its proper divisors (370623620).

86749688089 is an frugal number, since it uses more digits than its factorization.

86749688089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 73.

The spelling of 86749688089 in words is "eighty-six billion, seven hundred forty-nine million, six hundred eighty-eight thousand, eighty-nine".

Divisors: 1 313 941 97969 294533 885481 92188829 277155553 86749688089