Search a number
-
+
27540271224 = 23327121372521
BaseRepresentation
bin11001101001100001…
…110011000001111000
32122002022212201211100
4121221201303001320
5422400302134344
620352443331400
71663321304634
oct315141630170
978068781740
1027540271224
1110752846434
125407220b60
13279b8c5a9b
1414938bbdc4
15ab2c05569
hex669873078

27540271224 has 96 divisors (see below), whose sum is σ = 75704185440. Its totient is φ = 9042969600.

The previous prime is 27540271223. The next prime is 27540271261. The reversal of 27540271224 is 42217204572.

27540271224 is a `hidden beast` number, since 27 + 5 + 402 + 7 + 1 + 224 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27540271223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10923084 + ... + 10925604.

It is an arithmetic number, because the mean of its divisors is an integer number (788585265).

Almost surely, 227540271224 is an apocalyptic number.

27540271224 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 27540271224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37852092720).

27540271224 is an abundant number, since it is smaller than the sum of its proper divisors (48163914216).

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

27540271224 is a wasteful number, since it uses less digits than its factorization.

27540271224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 27540271224 its reverse (42217204572), we get a palindrome (69757475796).

The spelling of 27540271224 in words is "twenty-seven billion, five hundred forty million, two hundred seventy-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2137 2521 2556 4274 5042 5112 6411 7563 8548 10084 12822 15126 17096 19233 20168 22689 25644 30252 38466 45378 51288 60504 76932 90756 151727 153864 178991 181512 303454 357982 455181 536973 606908 715964 910362 1073946 1213816 1365543 1431928 1610919 1820724 2147892 2731086 3221838 3641448 4295784 5387377 5462172 6443676 10774754 10924344 12887352 16162131 21549508 32324262 43099016 48486393 64648524 96972786 129297048 193945572 382503767 387891144 765007534 1147511301 1530015068 2295022602 3060030136 3442533903 4590045204 6885067806 9180090408 13770135612 27540271224