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12085753050153 = 3317733071174897
BaseRepresentation
bin1010111111011110111100…
…0001000111010000101001
31120210101102220120101222000
42233313233001013100221
53041003110240101103
641412041315321213
72355111140633046
oct257675701072051
946711386511860
1012085753050153
11393a5a2581692
1214323722b0209
136988b26a8193
142dad4c8421cd
1515e5a14e6aa3
hexafdef047429

12085753050153 has 64 divisors (see below), whose sum is σ = 19280358155520. Its totient is φ = 7454968897536.

The previous prime is 12085753050121. The next prime is 12085753050169. The reversal of 12085753050153 is 35105035758021.

12085753050153 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 57 + 530 + 50 + 15 + 3 = 666.

It is not a de Polignac number, because 12085753050153 - 25 = 12085753050121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12085753050099 and 12085753050108.

It is not an unprimeable number, because it can be changed into a prime (12085753050653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9699201 + ... + 10874097.

It is an arithmetic number, because the mean of its divisors is an integer number (301255596180).

Almost surely, 212085753050153 is an apocalyptic number.

It is an amenable number.

12085753050153 is a deficient number, since it is larger than the sum of its proper divisors (7194605105367).

12085753050153 is a wasteful number, since it uses less digits than its factorization.

12085753050153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175303 (or 1175297 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 12085753050153 in words is "twelve trillion, eighty-five billion, seven hundred fifty-three million, fifty thousand, one hundred fifty-three".

Divisors: 1 3 9 17 27 51 73 153 219 307 459 657 921 1241 1971 2763 3723 5219 8289 11169 15657 22411 33507 46971 67233 140913 201699 380987 605097 1142961 1174897 3428883 3524691 10286649 10574073 19973249 31722219 59919747 85767481 179759241 257302443 360693379 539277723 771907329 1082080137 1458047177 2315721987 3246240411 4374141531 6131787443 9738721233 13122424593 18395362329 26330616667 39367273779 55186086987 78991850001 165558260961 236975550003 447620483339 710926650009 1342861450017 4028584350051 12085753050153