Search a number
-
+
27074028192 = 2533474331877
BaseRepresentation
bin11001001101101111…
…001110001010100000
32120212211120010121220
4121031233032022200
5420421422400232
620234310215040
71645630304541
oct311557161240
976784503556
1027074028192
1110533646112
1252b7054480
13272612ca33
14144b9d24c8
15a86d0942c
hex64dbce2a0

27074028192 has 96 divisors (see below), whose sum is σ = 71476800192. Its totient is φ = 8973103104.

The previous prime is 27074028187. The next prime is 27074028197. The reversal of 27074028192 is 29182047072.

It is an interprime number because it is at equal distance from previous prime (27074028187) and next prime (27074028197).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27074028197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14423158 + ... + 14425034.

It is an arithmetic number, because the mean of its divisors is an integer number (744550002).

Almost surely, 227074028192 is an apocalyptic number.

It is an amenable number.

27074028192 is an abundant number, since it is smaller than the sum of its proper divisors (44402772000).

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

27074028192 is a wasteful number, since it uses less digits than its factorization.

27074028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 27074028192 in words is "twenty-seven billion, seventy-four million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 347 433 694 866 1041 1299 1388 1732 1877 2082 2598 2776 3464 3754 4164 5196 5552 5631 6928 7508 8328 10392 11104 11262 13856 15016 16656 20784 22524 30032 33312 41568 45048 60064 90096 150251 180192 300502 450753 601004 651319 812741 901506 1202008 1302638 1625482 1803012 1953957 2404016 2438223 2605276 3250964 3606024 3907914 4808032 4876446 5210552 6501928 7212048 7815828 9752892 10421104 13003856 14424096 15631656 19505784 20842208 26007712 31263312 39011568 62526624 78023136 282021127 564042254 846063381 1128084508 1692126762 2256169016 3384253524 4512338032 6768507048 9024676064 13537014096 27074028192