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9131353095657 = 31316322738916267
BaseRepresentation
bin1000010011100000111100…
…0011101011110111101001
31012022221121200211110021010
42010320033003223313221
52144102002343030112
631230515151134133
71631501304443022
oct204701703536751
935287550743233
109131353095657
112a00648850031
121035873814349
1351311019c930
14237d61b73c49
1510c7da21c63c
hex84e0f0ebde9

9131353095657 has 64 divisors (see below), whose sum is σ = 13285120343040. Its totient is φ = 5545582735104.

The previous prime is 9131353095643. The next prime is 9131353095661. The reversal of 9131353095657 is 7565903531319.

It is not a de Polignac number, because 9131353095657 - 211 = 9131353093609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9131353095597 and 9131353095606.

It is not an unprimeable number, because it can be changed into a prime (9131353095617) 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 63 ways as a sum of consecutive naturals, for example, 561334038 + ... + 561350304.

It is an arithmetic number, because the mean of its divisors is an integer number (207580005360).

Almost surely, 29131353095657 is an apocalyptic number.

It is an amenable number.

9131353095657 is a deficient number, since it is larger than the sum of its proper divisors (4153767247383).

9131353095657 is a wasteful number, since it uses less digits than its factorization.

9131353095657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062.

The product of its (nonzero) digits is 11481750, while the sum is 57.

The spelling of 9131353095657 in words is "nine trillion, one hundred thirty-one billion, three hundred fifty-three million, ninety-five thousand, six hundred fifty-seven".

Divisors: 1 3 13 39 163 227 389 489 681 1167 2119 2951 5057 6357 8853 15171 16267 37001 48801 63407 88303 111003 190221 211471 264909 481013 634413 824291 1147939 1443039 2472873 2651521 3443817 3692609 6327863 7954563 11077827 14393389 18983589 34469773 43180167 48003917 82262219 103409319 144011751 187114057 246786657 561342171 601895267 1031441669 1436424901 1805685801 3094325007 4309274703 7824638471 13408741697 18673523713 23473915413 40226225091 56020571139 234137258863 702411776589 3043784365219 9131353095657