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12133675785258 = 233313711716257
BaseRepresentation
bin1011000010010001011101…
…1011110101110000101010
31120221222010201122120212000
42300210113123311300222
53042244232000112013
641450044514031430
72361425540311656
oct260442733656052
946858121576760
1012133675785258
113958954724895
12143b707578576
136a027bc8a381
142dd3b7323a66
15160958815973
hexb09176f5c2a

12133675785258 has 32 divisors (see below), whose sum is σ = 26963847563520. Its totient is φ = 4044540055680.

The previous prime is 12133675785067. The next prime is 12133675785299. The reversal of 12133675785258 is 85258757633121.

It is a happy number.

12133675785258 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 6 + 7 + 578 + 5 + 2 + 58 = 666.

12133675785258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12133675785195 and 12133675785204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16582266 + ... + 17298522.

It is an arithmetic number, because the mean of its divisors is an integer number (842620236360).

Almost surely, 212133675785258 is an apocalyptic number.

12133675785258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12133675785258 is an abundant number, since it is smaller than the sum of its proper divisors (14830171778262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133675785258 is a wasteful number, since it uses less digits than its factorization.

12133675785258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029979 (or 1029973 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 12133675785258 in words is "twelve trillion, one hundred thirty-three billion, six hundred seventy-five million, seven hundred eighty-five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 313711 627422 716257 941133 1432514 1882266 2148771 2823399 4297542 5646798 6446313 8470197 12892626 16940394 19338939 38677878 224697699727 449395399454 674093099181 1348186198362 2022279297543 4044558595086 6066837892629 12133675785258