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127212663753 = 3471931116189
BaseRepresentation
bin111011001111001110…
…1110011001111001001
3110011100200001220010000
41312132131303033021
54041012420220003
6134235104513213
712122306541420
oct1663635631711
9404320056100
10127212663753
1149a5026115a
12207a331b809
13bcc458c746
14622b2202b7
1534982cb1a3
hex1d9e7733c9

127212663753 has 40 divisors (see below), whose sum is σ = 217295749440. Its totient is φ = 72654680160.

The previous prime is 127212663751. The next prime is 127212663793. The reversal of 127212663753 is 357366212721.

127212663753 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 2 + 6 + 637 + 5 + 3 = 666.

It is not a de Polignac number, because 127212663753 - 21 = 127212663751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127212663699 and 127212663708.

It is not an unprimeable number, because it can be changed into a prime (127212663751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1036783 + ... + 1152971.

It is an arithmetic number, because the mean of its divisors is an integer number (5432393736).

Almost surely, 2127212663753 is an apocalyptic number.

It is an amenable number.

127212663753 is a deficient number, since it is larger than the sum of its proper divisors (90083085687).

127212663753 is a wasteful number, since it uses less digits than its factorization.

127212663753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118139 (or 118130 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 127212663753 in words is "one hundred twenty-seven billion, two hundred twelve million, six hundred sixty-three thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 1931 5793 13517 17379 40551 52137 116189 121653 156411 348567 364959 813323 1045701 1094877 2439969 3137103 7319907 9411309 21959721 65879163 224360959 673082877 1570526713 2019248631 4711580139 6057745893 14134740417 18173237679 42404221251 127212663753