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127166854113 = 32131086896189
BaseRepresentation
bin111011001101110111…
…1000011001111100001
3110011020110212112002200
41312123233003033201
54040414203312423
6134230351003413
712121212265545
oct1663357031741
9404213775080
10127166854113
1149a27412752
122078bb09569
13bcb7c40750
1462250d7a25
15349427cd43
hex1d9bbc33e1

127166854113 has 12 divisors (see below), whose sum is σ = 197815106580. Its totient is φ = 78256525536.

The previous prime is 127166854093. The next prime is 127166854123. The reversal of 127166854113 is 311458661721.

127166854113 is a `hidden beast` number, since 1 + 27 + 16 + 68 + 541 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36537557904 + 90629296209 = 191148^2 + 301047^2 .

It is not a de Polignac number, because 127166854113 - 210 = 127166853089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127166854123) 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, 543447978 + ... + 543448211.

It is an arithmetic number, because the mean of its divisors is an integer number (16484592215).

Almost surely, 2127166854113 is an apocalyptic number.

127166854113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127166854113 is a deficient number, since it is larger than the sum of its proper divisors (70648252467).

127166854113 is a wasteful number, since it uses less digits than its factorization.

127166854113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086896208 (or 1086896205 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 127166854113 in words is "one hundred twenty-seven billion, one hundred sixty-six million, eight hundred fifty-four thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 1086896189 3260688567 9782065701 14129650457 42388951371 127166854113