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135565222416 = 243131773917293
BaseRepresentation
bin111111001000001010…
…0010010001000010000
3110221220202212211120120
41332100110102020100
54210114144104131
6142140001110240
712536301243411
oct1762024221020
9427822784516
10135565222416
11525470410a8
1222334628380
13ca25b73550
1467c065d808
1537d6718496
hex1f90512210

135565222416 has 160 divisors (see below), whose sum is σ = 399898154880. Its totient is φ = 39203315712.

The previous prime is 135565222381. The next prime is 135565222417. The reversal of 135565222416 is 614222565531.

It is not an unprimeable number, because it can be changed into a prime (135565222417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7830666 + ... + 7847958.

It is an arithmetic number, because the mean of its divisors is an integer number (2499363468).

Almost surely, 2135565222416 is an apocalyptic number.

135565222416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135565222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199949077440).

135565222416 is an abundant number, since it is smaller than the sum of its proper divisors (264332932464).

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

135565222416 is a wasteful number, since it uses less digits than its factorization.

135565222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18073 (or 18067 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

Adding to 135565222416 its reverse (614222565531), we get a palindrome (749787787947).

The spelling of 135565222416 in words is "one hundred thirty-five billion, five hundred sixty-five million, two hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 739 816 884 1326 1478 1768 2217 2652 2956 3536 4434 5304 5912 8868 9607 10608 11824 12563 17293 17736 19214 25126 28821 34586 35472 37689 38428 50252 51879 57642 69172 75378 76856 100504 103758 115284 138344 150756 153712 163319 201008 207516 224809 230568 276688 293981 301512 326638 415032 449618 461136 489957 587962 603024 653276 674427 830064 881943 899236 979914 1175924 1306552 1348854 1763886 1798472 1959828 2351848 2613104 2697708 3527772 3596944 3821753 3919656 4703696 5395416 7055544 7643506 7839312 10790832 11465259 12779527 14111088 15287012 22930518 25559054 30574024 38338581 45861036 51118108 61148048 76677162 91722072 102236216 153354324 166133851 183444144 204472432 217251959 306708648 332267702 434503918 498401553 613417296 651755877 664535404 869007836 996803106 1303511754 1329070808 1738015672 1993606212 2607023508 2658141616 2824275467 3476031344 3987212424 5214047016 5648550934 7974424848 8472826401 10428094032 11297101868 16945652802 22594203736 33891305604 45188407472 67782611208 135565222416