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27023513132 = 22721161205477
BaseRepresentation
bin11001001010101110…
…100001011000101100
32120202022111200222202
4121022232201120230
5420321004410012
620225303401032
71644445033400
oct311256413054
976668450882
1027023513132
1110508083430
1252a2153178
132718824075
141445003100
15a8267bcc2
hex64aba162c

27023513132 has 72 divisors (see below), whose sum is σ = 60997377168. Its totient is φ = 10355990400.

The previous prime is 27023513063. The next prime is 27023513141. The reversal of 27023513132 is 23131532072.

It is a junction number, because it is equal to n+sod(n) for n = 27023513095 and 27023513104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28778 + ... + 234254.

It is an arithmetic number, because the mean of its divisors is an integer number (847185794).

Almost surely, 227023513132 is an apocalyptic number.

27023513132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27023513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498688584).

27023513132 is an abundant number, since it is smaller than the sum of its proper divisors (33973864036).

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

27023513132 is a wasteful number, since it uses less digits than its factorization.

27023513132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205567 (or 205558 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 27023513132 in words is "twenty-seven billion, twenty-three million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 61 77 98 122 154 196 244 308 427 539 671 854 1078 1342 1708 2156 2684 2989 4697 5978 9394 11956 18788 32879 65758 131516 205477 410954 821908 1438339 2260247 2876678 4520494 5753356 9040988 10068373 12534097 15821729 20136746 25068194 31643458 40273492 50136388 63286916 87738679 110752103 137875067 175477358 221504206 275750134 350954716 443008412 551500268 614170753 965125469 1228341506 1930250938 2456683012 3860501876 6755878283 13511756566 27023513132