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134585836110 = 232511373674197
BaseRepresentation
bin111110101010111110…
…0001110001001001110
3110212101111222212010200
41331111330032021032
54201112433223420
6141454453314330
712503106505635
oct1752574161116
9425344885120
10134585836110
1152094217730
12221006359a6
13c8caca2c1b
14672a55a51c
15377a759b90
hex1f55f0e24e

134585836110 has 96 divisors (see below), whose sum is σ = 392051623392. Its totient is φ = 31745053440.

The previous prime is 134585836103. The next prime is 134585836127. The reversal of 134585836110 is 11638585431.

134585836110 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 583 + 61 + 1 + 0 = 666.

It is a super-2 number, since 2×1345858361102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800469 + ... + 1873728.

It is an arithmetic number, because the mean of its divisors is an integer number (4083871077).

Almost surely, 2134585836110 is an apocalyptic number.

134585836110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134585836110 is an abundant number, since it is smaller than the sum of its proper divisors (257465787282).

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

134585836110 is a wasteful number, since it uses less digits than its factorization.

134585836110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674258 (or 3674255 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 134585836110 in words is "one hundred thirty-four billion, five hundred eighty-five million, eight hundred thirty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 3674197 7348394 11022591 18370985 22045182 33067773 36741970 40416167 55112955 66135546 80832334 110225910 121248501 135945289 165338865 202080835 242497002 271890578 330677730 363745503 404161670 407835867 606242505 679726445 727491006 815671734 1212485010 1223507601 1359452890 1495398179 1818727515 2039179335 2447015202 2990796358 3637455030 4078358670 4486194537 6117538005 7476990895 8972389074 12235076010 13458583611 14953981790 22430972685 26917167222 44861945370 67292918055 134585836110