Search a number
-
+
27492681048 = 233713728719
BaseRepresentation
bin11001100110101100…
…010000010101011000
32121222000022220101020
4121212230100111120
5422301111243143
620344023322440
71662202635030
oct314654202530
977860286336
1027492681048
11107289a1208
1253b32b0420
132791aa2511
14148b4508c0
15aad954883
hex666b10558

27492681048 has 96 divisors (see below), whose sum is σ = 79137139200. Its totient is φ = 7796821248.

The previous prime is 27492681023. The next prime is 27492681053. The reversal of 27492681048 is 84018629472.

It is a super-2 number, since 2×274926810482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3148833 + ... + 3157551.

It is an arithmetic number, because the mean of its divisors is an integer number (824345200).

Almost surely, 227492681048 is an apocalyptic number.

27492681048 is a gapful number since it is divisible by the number (28) 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 27492681048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39568569600).

27492681048 is an abundant number, since it is smaller than the sum of its proper divisors (51644458152).

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

27492681048 is a wasteful number, since it uses less digits than its factorization.

27492681048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 27492681048 in words is "twenty-seven billion, four hundred ninety-two million, six hundred eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 8719 11508 17438 18769 23016 26157 34876 37538 52314 56307 61033 69752 75076 104628 112614 122066 131383 150152 183099 209256 225228 244132 262766 366198 394149 450456 488264 525532 732396 788298 1051064 1194503 1464792 1576596 2389006 3153192 3583509 4778012 7167018 8361521 9556024 14334036 16723042 25084563 28668072 33446084 50169126 66892168 100338252 163646911 200676504 327293822 490940733 654587644 981881466 1145528377 1309175288 1963762932 2291056754 3436585131 3927525864 4582113508 6873170262 9164227016 13746340524 27492681048