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127330828417 = 1337264721057
BaseRepresentation
bin111011010010110000…
…0100100000010000001
3110011122220102021120001
41312211200210002001
54041233143002132
6134254525320001
712125243120002
oct1664540440201
9404586367501
10127330828417
114a000a2a001
1220816a06001
13c012bc3170
14623cbbd1a9
1534a386cce7
hex1da5824081

127330828417 has 8 divisors (see below), whose sum is σ = 140831602856. Its totient is φ = 114359496192.

The previous prime is 127330828403. The next prime is 127330828447. The reversal of 127330828417 is 714828033721.

It can be written as a sum of positive squares in 4 ways, for example, as 42337589121 + 84993239296 = 205761^2 + 291536^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127330828417 - 215 = 127330795649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127330828447) 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 7 ways as a sum of consecutive naturals, for example, 132360048 + ... + 132361009.

It is an arithmetic number, because the mean of its divisors is an integer number (17603950357).

Almost surely, 2127330828417 is an apocalyptic number.

It is an amenable number.

127330828417 is a deficient number, since it is larger than the sum of its proper divisors (13500774439).

127330828417 is a wasteful number, since it uses less digits than its factorization.

127330828417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264721107.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 127330828417 in words is "one hundred twenty-seven billion, three hundred thirty million, eight hundred twenty-eight thousand, four hundred seventeen".

Divisors: 1 13 37 481 264721057 3441373741 9794679109 127330828417