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134127483093 = 37312418209
BaseRepresentation
bin111110011101010011…
…1101111100011010101
3110211012120112010000000
41330322213233203111
54144143113424333
6141341201241513
712455542536522
oct1747247574325
9424176463000
10134127483093
115197951628a
1221bb3033299
13c857040216
1466c5726149
1537503bb713
hex1f3a9ef8d5

134127483093 has 64 divisors (see below), whose sum is σ = 208536627200. Its totient is φ = 86164300800.

The previous prime is 134127483059. The next prime is 134127483097. The reversal of 134127483093 is 390384721431.

134127483093 is a `hidden beast` number, since 1 + 3 + 412 + 74 + 83 + 0 + 93 = 666.

It is not a de Polignac number, because 134127483093 - 214 = 134127466709 is a prime.

It is a super-3 number, since 3×1341274830933 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134127483097) 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, 16334973 + ... + 16343181.

It is an arithmetic number, because the mean of its divisors is an integer number (3258384800).

Almost surely, 2134127483093 is an apocalyptic number.

It is an amenable number.

134127483093 is a deficient number, since it is larger than the sum of its proper divisors (74409144107).

134127483093 is an frugal number, since it uses more digits than its factorization.

134127483093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134127483093 in words is "one hundred thirty-four billion, one hundred twenty-seven million, four hundred eighty-three thousand, ninety-three".

Divisors: 1 3 9 27 31 81 93 241 243 279 723 729 837 2169 2187 2511 6507 7471 7533 8209 19521 22413 22599 24627 58563 67239 67797 73881 175689 201717 221643 254479 527067 605151 664929 763437 1815453 1978369 1994787 2290311 5446359 5935107 5984361 6870933 16339077 17805321 17953083 20612799 53415963 61329439 61838397 160247889 183988317 185515191 480743667 551964951 556545573 1442231001 1655894853 4326693003 4967684559 14903053677 44709161031 134127483093