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27458555168 = 2511226632
BaseRepresentation
bin11001100100101010…
…000100110100100000
32121212122010010110202
4121210222010310200
5422213342231133
620340404044332
71661306603462
oct314452046440
977778103422
1027458555168
1110710702a00
1253a39936a8
1327879b45a5
141486aca132
15aaa9632e8
hex664a84d20

27458555168 has 54 divisors (see below), whose sum is σ = 59442578307. Its totient is φ = 12476474560.

The previous prime is 27458555161. The next prime is 27458555171. The reversal of 27458555168 is 86155585472.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13729277584 + 13729277584 = 117172^2 + 117172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=117172.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27458555161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10309805 + ... + 10312467.

Almost surely, 227458555168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27458555168

27458555168 is an abundant number, since it is smaller than the sum of its proper divisors (31984023139).

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

27458555168 is an frugal number, since it uses more digits than its factorization.

27458555168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 2676 counting only the distinct ones).

The product of its digits is 13440000, while the sum is 56.

The spelling of 27458555168 in words is "twenty-seven billion, four hundred fifty-eight million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2663 3872 5326 10652 21304 29293 42608 58586 85216 117172 234344 322223 468688 644446 937376 1288892 2577784 5155568 7091569 10311136 14183138 28366276 56732552 78007259 113465104 156014518 226930208 312029036 624058072 858079849 1248116144 1716159698 2496232288 3432319396 6864638792 13729277584 27458555168