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27330041124 = 22325924672
BaseRepresentation
bin11001011100111111…
…110101010100100100
32121112200021221100100
4121130333311110210
5421432442303444
620315533344100
71655156342121
oct313477652444
977480257310
1027330041124
1110655106451
125368938030
132767199289
1414739d5748
15a9e529e69
hex65cff5524

27330041124 has 81 divisors (see below), whose sum is σ = 70425840667. Its totient is φ = 8936429808.

The previous prime is 27330041117. The next prime is 27330041131. The reversal of 27330041124 is 42114003372.

It is a happy number.

The square root of 27330041124 is 165318.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27330041117) and next prime (27330041131).

It is a super-2 number, since 2×273300411242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58522339 + ... + 58522805.

Almost surely, 227330041124 is an apocalyptic number.

27330041124 is the 165318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27330041124

27330041124 is an abundant number, since it is smaller than the sum of its proper divisors (43095799543).

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

27330041124 is an equidigital number, since it uses as much as digits as its factorization.

27330041124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 27330041124 its reverse (42114003372), we get a palindrome (69444044496).

The spelling of 27330041124 in words is "twenty-seven billion, three hundred thirty million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 467 531 708 934 1062 1401 1868 2124 2802 3481 4203 5604 6962 8406 10443 13924 16812 20886 27553 31329 41772 55106 62658 82659 110212 125316 165318 218089 247977 330636 436178 495954 654267 872356 991908 1308534 1625627 1962801 2617068 3251254 3925602 4876881 6502508 7851204 9753762 12867251 14630643 19507524 25734502 29261286 38601753 51469004 58522572 77203506 115805259 154407012 231610518 463221036 759167809 1518335618 2277503427 3036671236 4555006854 6832510281 9110013708 13665020562 27330041124