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27312451153 = 132257628841
BaseRepresentation
bin11001011011111100…
…101110111001010001
32121111110012021102221
4121123330232321101
5421413441414103
620314104341041
71654554001321
oct313374567121
977443167387
1027312451153
1110646191889
125362a74781
13276364ab00
141471537281
15a9cc031bd
hex65bf2ee51

27312451153 has 12 divisors (see below), whose sum is σ = 29690146188. Its totient is φ = 25113354240.

The previous prime is 27312451139. The next prime is 27312451183. The reversal of 27312451153 is 35115421372.

It can be written as a sum of positive squares in 6 ways, for example, as 577585089 + 26734866064 = 24033^2 + 163508^2 .

It is not a de Polignac number, because 27312451153 - 25 = 27312451121 is a prime.

It is a super-3 number, since 3×273124511533 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27312451183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270988 + ... + 357853.

It is an arithmetic number, because the mean of its divisors is an integer number (2474178849).

Almost surely, 227312451153 is an apocalyptic number.

It is an amenable number.

27312451153 is a deficient number, since it is larger than the sum of its proper divisors (2377695035).

27312451153 is a wasteful number, since it uses less digits than its factorization.

27312451153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629124 (or 629111 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The spelling of 27312451153 in words is "twenty-seven billion, three hundred twelve million, four hundred fifty-one thousand, one hundred fifty-three".

Divisors: 1 13 169 257 3341 43433 628841 8174933 106274129 161612137 2100957781 27312451153