Search a number
-
+
27165848064 = 29320638573
BaseRepresentation
bin11001010011001101…
…011111001000000000
32121010020100001210220
4121103031133020000
5421113424114224
620251350223040
71651123620135
oct312315371000
977106301726
1027165848064
111058045a803
125321954a80
13273c16b114
141459c9458c
15a8ede5279
hex65335f200

27165848064 has 80 divisors (see below), whose sum is σ = 72415043712. Its totient is φ = 9049837568.

The previous prime is 27165848053. The next prime is 27165848081. The reversal of 27165848064 is 46084856172.

It is a junction number, because it is equal to n+sod(n) for n = 27165847998 and 27165848016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164482 + ... + 3173054.

Almost surely, 227165848064 is an apocalyptic number.

27165848064 is a gapful number since it is divisible by the number (24) 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 27165848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36207521856).

27165848064 is an abundant number, since it is smaller than the sum of its proper divisors (45249195648).

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

27165848064 is an equidigital number, since it uses as much as digits as its factorization.

27165848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 27165848064 in words is "twenty-seven billion, one hundred sixty-five million, eight hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2063 4126 6189 8252 8573 12378 16504 17146 24756 25719 33008 34292 49512 51438 66016 68584 99024 102876 132032 137168 198048 205752 264064 274336 396096 411504 528128 548672 792192 823008 1056256 1097344 1584384 1646016 2194688 3168768 3292032 4389376 6584064 13168128 17686099 35372198 53058297 70744396 106116594 141488792 212233188 282977584 424466376 565955168 848932752 1131910336 1697865504 2263820672 3395731008 4527641344 6791462016 9055282688 13582924032 27165848064