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127999607484673 = 1729377816872081
BaseRepresentation
bin11101000110101000111011…
…001000101011000100000001
3121210012122100201120121000001
4131012220323020223010001
5113234121144004002143
61132122112524000001
735650444411654021
oct3506507310530401
9553178321517001
10127999607484673
113786a368533911
1212433221690001
135656407900232
1423872dd535a81
15ebe86bdd514d
hex746a3b22b101

127999607484673 has 16 divisors (see below), whose sum is σ = 140206141146960. Its totient is φ = 116312977715200.

The previous prime is 127999607484667. The next prime is 127999607484677. The reversal of 127999607484673 is 376484706999721.

It can be written as a sum of positive squares in 8 ways, for example, as 48430923948289 + 79568683536384 = 6959233^2 + 8920128^2 .

It is a de Polignac number, because none of the positive numbers 2k-127999607484673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127999607484677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15189993 + ... + 22062073.

It is an arithmetic number, because the mean of its divisors is an integer number (8762883821685).

Almost surely, 2127999607484673 is an apocalyptic number.

It is an amenable number.

127999607484673 is a deficient number, since it is larger than the sum of its proper divisors (12206533662287).

127999607484673 is a wasteful number, since it uses less digits than its factorization.

127999607484673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909908.

The product of its (nonzero) digits is 6913299456, while the sum is 82.

The spelling of 127999607484673 in words is "one hundred twenty-seven trillion, nine hundred ninety-nine billion, six hundred seven million, four hundred eighty-four thousand, six hundred seventy-three".

Divisors: 1 17 29 493 37781 642277 1095649 6872081 18626033 116825377 199290349 3387935933 259634092261 4413779568437 7529388675569 127999607484673