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81071217018 = 23211237222781
BaseRepresentation
bin100101110000000111…
…0001001100101111010
321202020222210112111100
41023200032021211322
52312013212421033
6101124341312230
75600006655201
oct1134016114572
9252228715440
1081071217018
1131422652300
1213866705676
13785004873c
143cd1144238
15219756b513
hex12e038997a

81071217018 has 36 divisors (see below), whose sum is σ = 193074570234. Its totient is φ = 24567034800.

The previous prime is 81071217013. The next prime is 81071217067.

81071217018 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 45178777809 + 35892439209 = 212553^2 + 189453^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81071217013) 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 17 ways as a sum of consecutive naturals, for example, 18609213 + ... + 18613568.

Almost surely, 281071217018 is an apocalyptic number.

81071217018 is an abundant number, since it is smaller than the sum of its proper divisors (112003353216).

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

81071217018 is a wasteful number, since it uses less digits than its factorization.

81071217018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37222811 (or 37222797 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

The spelling of 81071217018 in words is "eighty-one billion, seventy-one million, two hundred seventeen thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 37222781 74445562 111668343 223336686 335005029 409450591 670010058 818901182 1228351773 2456703546 3685055319 4503956501 7370110638 9007913002 13511869503 27023739006 40535608509 81071217018