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127866668721 = 31110138363837
BaseRepresentation
bin111011100010101110…
…0101000011010110001
3110020001020200210021020
41313011130220122301
54043332331344341
6134424030250053
712144440515431
oct1670534503261
9406036623236
10127866668721
114a256445830
1220946356929
13c099c1662c
1462900242c1
1534d5915566
hex1dc57286b1

127866668721 has 16 divisors (see below), whose sum is σ = 187829350848. Its totient is φ = 76727672000.

The previous prime is 127866668689. The next prime is 127866668723.

127866668721 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 127866668721 - 25 = 127866668689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127866668723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19178586 + ... + 19185251.

It is an arithmetic number, because the mean of its divisors is an integer number (11739334428).

Almost surely, 2127866668721 is an apocalyptic number.

127866668721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127866668721 is a deficient number, since it is larger than the sum of its proper divisors (59962682127).

127866668721 is a wasteful number, since it uses less digits than its factorization.

127866668721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38363952.

The product of its digits is 16257024, while the sum is 60.

The spelling of 127866668721 in words is "one hundred twenty-seven billion, eight hundred sixty-six million, six hundred sixty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 38363837 115091511 422002207 1266006621 3874747537 11624242611 42622222907 127866668721