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27018376164 = 223213439131507
BaseRepresentation
bin11001001010011010…
…111011001111100100
32120201221211201101200
4121022122323033210
5420313201014124
620225001322500
71644353256663
oct311232731744
976657751350
1027018376164
11105051949aa
1252a0496430
132717745b40
141444466dda
15a81eb4bc9
hex64a6bb3e4

27018376164 has 72 divisors (see below), whose sum is σ = 73718124480. Its totient is φ = 8294346432.

The previous prime is 27018376157. The next prime is 27018376169. The reversal of 27018376164 is 46167381072.

27018376164 is a `hidden beast` number, since 27 + 0 + 1 + 8 + 3 + 7 + 616 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (27018376169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139699 + ... + 271205.

It is an arithmetic number, because the mean of its divisors is an integer number (1023862840).

Almost surely, 227018376164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27018376164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36859062240).

27018376164 is an abundant number, since it is smaller than the sum of its proper divisors (46699748316).

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

27018376164 is a wasteful number, since it uses less digits than its factorization.

27018376164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131969 (or 131964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27018376164 in words is "twenty-seven billion, eighteen million, three hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 439 468 878 1317 1756 2634 3951 5268 5707 7902 11414 15804 17121 22828 34242 51363 68484 102726 131507 205452 263014 394521 526028 789042 1183563 1578084 1709591 2367126 3419182 4734252 5128773 6838364 10257546 15386319 20515092 30772638 57731573 61545276 115463146 173194719 230926292 346389438 519584157 692778876 750510449 1039168314 1501020898 2078336628 2251531347 3002041796 4503062694 6754594041 9006125388 13509188082 27018376164