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20116160116602 = 231121571279913789
BaseRepresentation
bin1001001001011101010001…
…00100111111011101111010
32122020002022210012211101120
410210232220210333131322
510114040343442212402
6110441123020330110
74144226125513644
oct444565044773572
978202283184346
1020116160116602
116456240a5aa00
12230a7913a3936
13b2bc3aaab244
144d78ad60d894
1524d402b933bc
hex124ba893f77a

20116160116602 has 96 divisors (see below), whose sum is σ = 44510678016000. Its totient is φ = 6056066839680.

The previous prime is 20116160116601. The next prime is 20116160116627. The reversal of 20116160116602 is 20661106161102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20116160116601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458848724 + ... + 1458862512.

It is an arithmetic number, because the mean of its divisors is an integer number (463652896000).

Almost surely, 220116160116602 is an apocalyptic number.

20116160116602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20116160116602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255339008000).

20116160116602 is an abundant number, since it is smaller than the sum of its proper divisors (24394517899398).

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

20116160116602 is a wasteful number, since it uses less digits than its factorization.

20116160116602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26772 (or 26761 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

Adding to 20116160116602 its reverse (20661106161102), we get a palindrome (40777266277704).

The spelling of 20116160116602 in words is "twenty trillion, one hundred sixteen billion, one hundred sixty million, one hundred sixteen thousand, six hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 157 242 314 363 471 726 942 1727 3454 5181 10362 12799 13789 18997 25598 27578 37994 38397 41367 56991 76794 82734 113982 140789 151679 281578 303358 422367 455037 844734 910074 1548679 1668469 2009443 2164873 3097358 3336938 4018886 4329746 4646037 5005407 6028329 6494619 9292074 10010814 12056658 12989238 22103873 23813603 44207746 47627206 66311619 71440809 132623238 142881618 176485411 243142603 261949633 352970822 486285206 523899266 529456233 729427809 785848899 1058912466 1458855618 1571697798 1941339521 3882679042 5824018563 11648037126 21354734731 27708209527 42709469462 55416419054 64064204193 83124628581 128128408386 166249257162 304790304797 609580609594 914370914391 1828741828782 3352693352767 6705386705534 10058080058301 20116160116602