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127352041074153 = 3273535726518327
BaseRepresentation
bin11100111101001101110101…
…001010110110110111101001
3121200220201212201010112001200
4130331031311022312313221
5113143013440003333103
61130504415304234413
735552611204205220
oct3475156512666751
9550821781115050
10127352041074153
113763a774142045
1212349818a6ba09
13560a32744c6ac
142363c2bc45cb7
15eacabb1810a3
hex73d3752b6de9

127352041074153 has 24 divisors (see below), whose sum is σ = 210827498763648. Its totient is φ = 72566440227072.

The previous prime is 127352041074151. The next prime is 127352041074179. The reversal of 127352041074153 is 351470140253721.

127352041074153 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 520 + 4 + 1 + 0 + 74 + 1 + 53 = 666.

It is not a de Polignac number, because 127352041074153 - 21 = 127352041074151 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127352041074099 and 127352041074108.

It is not an unprimeable number, because it can be changed into a prime (127352041074151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2863236925 + ... + 2863281402.

It is an arithmetic number, because the mean of its divisors is an integer number (8784479115152).

Almost surely, 2127352041074153 is an apocalyptic number.

It is an amenable number.

127352041074153 is a deficient number, since it is larger than the sum of its proper divisors (83475457689495).

127352041074153 is a wasteful number, since it uses less digits than its factorization.

127352041074153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726518693 (or 5726518690 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 127352041074153 in words is "one hundred twenty-seven trillion, three hundred fifty-two billion, forty-one million, seventy-four thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 63 353 1059 2471 3177 7413 22239 5726518327 17179554981 40085628289 51538664943 120256884867 360770654601 2021460969431 6064382908293 14150226786017 18193148724879 42450680358051 127352041074153