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127315847681 = 11434711534967
BaseRepresentation
bin111011010010010011…
…1011010101000000001
3110011121212020011211222
41312210213122220001
54041220324111211
6134253232244425
712125001564251
oct1664447325001
9404555204758
10127315847681
1149aa3527830
12208119a0715
13c00ca79519
14623abdd961
1534a23ae1db
hex1da49daa01

127315847681 has 32 divisors (see below), whose sum is σ = 145298976768. Its totient is φ = 110526474240.

The previous prime is 127315847677. The next prime is 127315847693. The reversal of 127315847681 is 186748513721.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 127315847681 - 22 = 127315847677 is a prime.

It is a super-2 number, since 2×1273158476812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127315847641) 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, 25629860 + ... + 25634826.

It is an arithmetic number, because the mean of its divisors is an integer number (4540593024).

Almost surely, 2127315847681 is an apocalyptic number.

127315847681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127315847681 is a deficient number, since it is larger than the sum of its proper divisors (17983129087).

127315847681 is a wasteful number, since it uses less digits than its factorization.

127315847681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221.

The product of its digits is 2257920, while the sum is 53.

The spelling of 127315847681 in words is "one hundred twenty-seven billion, three hundred fifteen million, eight hundred forty-seven thousand, six hundred eighty-one".

Divisors: 1 11 43 47 473 517 1153 2021 4967 12683 22231 49579 54191 54637 213581 233449 545369 596101 2330213 2349391 2567939 5726951 10038307 25632343 62996461 110421377 246258893 269166697 2708847823 2960833667 11574167971 127315847681