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20242216585300 = 2252599001381167
BaseRepresentation
bin1001001101001000000100…
…01000010000100001010100
32122200010200212200221001111
410212210002020100201110
510123122024421212200
6111015051304104404
74156310666023333
oct446440210204124
978603625627044
1020242216585300
1164a4748604656
12232b0b1465104
13b3aaa9972ba8
144dda2b063d1a
1525182e6d80ba
hex126902210854

20242216585300 has 72 divisors (see below), whose sum is σ = 44675191854720. Its totient is φ = 7958746080000.

The previous prime is 20242216585291. The next prime is 20242216585351. The reversal of 20242216585300 is 358561224202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52915317 + ... + 53296483.

It is an arithmetic number, because the mean of its divisors is an integer number (620488775760).

Almost surely, 220242216585300 is an apocalyptic number.

20242216585300 is a gapful number since it is divisible by the number (20) 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 20242216585300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337595927360).

20242216585300 is an abundant number, since it is smaller than the sum of its proper divisors (24432975269420).

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

20242216585300 is a wasteful number, since it uses less digits than its factorization.

20242216585300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390241 (or 390234 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 20242216585300 in words is "twenty trillion, two hundred forty-two billion, two hundred sixteen million, five hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 9001 18002 36004 45005 90010 180020 225025 381167 450050 531059 762334 900100 1062118 1524668 1905835 2124236 2655295 3811670 5310590 7623340 9529175 10621180 13276475 19058350 22488853 26552950 38116700 44977706 53105900 89955412 112444265 224888530 449777060 562221325 1124442650 2248885300 3430884167 6861768334 13723536668 17154420835 34308841670 68617683340 85772104175 171544208350 202422165853 343088416700 404844331706 809688663412 1012110829265 2024221658530 4048443317060 5060554146325 10121108292650 20242216585300