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27301380129 = 33172910319913
BaseRepresentation
bin11001011011010010…
…100000000000100001
32121110200100210212000
4121123102200000201
5421403123131004
620313031154213
71654360621302
oct313322400041
977420323760
1027301380129
111063aa0aa81
12535b215969
1327612728ca
14146dc947a9
15a9bc67c39
hex65b4a0021

27301380129 has 64 divisors (see below), whose sum is σ = 44734809600. Its totient is φ = 16378177536.

The previous prime is 27301380109. The next prime is 27301380179. The reversal of 27301380129 is 92108310372.

27301380129 is a `hidden beast` number, since 273 + 0 + 1 + 380 + 1 + 2 + 9 = 666.

It is not a de Polignac number, because 27301380129 - 223 = 27292991521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27301380093 and 27301380102.

It is not an unprimeable number, because it can be changed into a prime (27301380109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1361077 + ... + 1380989.

It is an arithmetic number, because the mean of its divisors is an integer number (698981400).

Almost surely, 227301380129 is an apocalyptic number.

27301380129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27301380129 is a deficient number, since it is larger than the sum of its proper divisors (17433429471).

27301380129 is a wasteful number, since it uses less digits than its factorization.

27301380129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20071 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 27301380129 in words is "twenty-seven billion, three hundred one million, three hundred eighty thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 27 29 51 87 103 153 261 309 459 493 783 927 1479 1751 2781 2987 4437 5253 8961 13311 15759 19913 26883 47277 50779 59739 80649 152337 179217 338521 457011 537651 577477 1015563 1371033 1732431 2051039 3046689 5197293 6153117 9140067 9817109 15591879 18459351 29451327 34867663 55378053 59480131 88353981 104602989 178440393 265061943 313808967 535321179 941426901 1011162227 1605963537 3033486681 9100460043 27301380129