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22641041360 = 2457269150299
BaseRepresentation
bin10101000101100000…
…101101111111010000
32011102220010001220102
4111011200231333100
5332332101310420
614222352031532
71431031450640
oct250540557720
964386101812
1022641041360
119669306533
12447a5325a8
13219a8ba3c2
14114ad6c520
158c7a56a75
hex54582dfd0

22641041360 has 80 divisors (see below), whose sum is σ = 60384528000. Its totient is φ = 7733733888.

The previous prime is 22641041359. The next prime is 22641041377. The reversal of 22641041360 is 6314014622.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 75491 + ... + 225789.

It is an arithmetic number, because the mean of its divisors is an integer number (754806600).

Almost surely, 222641041360 is an apocalyptic number.

22641041360 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 22641041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192264000).

22641041360 is an abundant number, since it is smaller than the sum of its proper divisors (37743486640).

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

22641041360 is a wasteful number, since it uses less digits than its factorization.

22641041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150588 (or 150582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 22641041360 its reverse (6314014622), we get a palindrome (28955055982).

The spelling of 22641041360 in words is "twenty-two billion, six hundred forty-one million, forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 269 280 538 560 1076 1345 1883 2152 2690 3766 4304 5380 7532 9415 10760 15064 18830 21520 30128 37660 75320 150299 150640 300598 601196 751495 1052093 1202392 1502990 2104186 2404784 3005980 4208372 5260465 6011960 8416744 10520930 12023920 16833488 21041860 40430431 42083720 80860862 84167440 161721724 202152155 283013017 323443448 404304310 566026034 646886896 808608620 1132052068 1415065085 1617217240 2264104136 2830130170 3234434480 4528208272 5660260340 11320520680 22641041360