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135563645334 = 231341106139953
BaseRepresentation
bin111111001000000111…
…0010001000110010110
3110221220122220201020010
41332100032101012112
54210113243122314
6142135503221050
712536251654455
oct1762016210626
9427818821203
10135563645334
1152546164227
1222333ba7786
13ca25740770
1467c036cb9c
1537d6506059
hex1f90391196

135563645334 has 64 divisors (see below), whose sum is σ = 299394180288. Its totient is φ = 40655155200.

The previous prime is 135563645323. The next prime is 135563645353. The reversal of 135563645334 is 433546365531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3373102 + ... + 3413054.

It is an arithmetic number, because the mean of its divisors is an integer number (4678034067).

Almost surely, 2135563645334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135563645334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149697090144).

135563645334 is an abundant number, since it is smaller than the sum of its proper divisors (163830534954).

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

135563645334 is a wasteful number, since it uses less digits than its factorization.

135563645334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41073.

The product of its digits is 5832000, while the sum is 48.

The spelling of 135563645334 in words is "one hundred thirty-five billion, five hundred sixty-three million, six hundred forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1061 1066 1599 2122 3183 3198 6366 13793 27586 39953 41379 43501 79906 82758 87002 119859 130503 239718 261006 519389 565513 1038778 1131026 1558167 1638073 1696539 3116334 3276146 3393078 4914219 9828438 21294949 42390133 42589898 63884847 84780266 127170399 127769694 254340798 551071729 1102143458 1653215187 1737995453 3306430374 3475990906 5213986359 10427972718 22593940889 45187881778 67781822667 135563645334