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127838164504713 = 31317347555670733
BaseRepresentation
bin11101000100010010100100…
…011000100101000010001001
3121202122012122111010110121220
4131010102210120211002021
5113224000030103122323
61131520013024352253
735633000614166115
oct3504224430450211
9552565574113556
10127838164504713
1137807952146533
1212407a86775689
135644119716b20
14237d586122745
15eba56d9130e3
hex7444a4625089

127838164504713 has 32 divisors (see below), whose sum is σ = 194920402755456. Its totient is φ = 73828636136448.

The previous prime is 127838164504697. The next prime is 127838164504733. The reversal of 127838164504713 is 317405461838721.

It is not a de Polignac number, because 127838164504713 - 24 = 127838164504697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127838164504733) 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 31 ways as a sum of consecutive naturals, for example, 277605306 + ... + 278065427.

It is an arithmetic number, because the mean of its divisors is an integer number (6091262586108).

Almost surely, 2127838164504713 is an apocalyptic number.

127838164504713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127838164504713 is a deficient number, since it is larger than the sum of its proper divisors (67082238250743).

127838164504713 is a wasteful number, since it uses less digits than its factorization.

127838164504713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555671113.

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 127838164504713 in words is "one hundred twenty-seven trillion, eight hundred thirty-eight billion, one hundred sixty-four million, five hundred four thousand, seven hundred thirteen".

Divisors: 1 3 13 17 39 51 221 347 663 1041 4511 5899 13533 17697 76687 230061 555670733 1667012199 7223719529 9446402461 21671158587 28339207383 122803231993 192817744351 368409695979 578453233053 2506630676563 3277901653967 7519892029689 9833704961901 42612721501571 127838164504713