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20353234544000 = 27531606379193
BaseRepresentation
bin1001010000010110110110…
…10100001010010110000000
32200001202020220120120020122
410220023123110022112000
510131431411020402000
6111142051420155412
74200321061062401
oct450133324122600
980052226516218
1020353234544000
116537838324146
122348715098b68
13b483c0027207
1450515d50b9a8
1525467ad5d085
hex1282db50a580

20353234544000 has 128 divisors (see below), whose sum is σ = 50607018708480. Its totient is φ = 8140684185600.

The previous prime is 20353234543921. The next prime is 20353234544017. The reversal of 20353234544000 is 44543235302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 256968404 + ... + 257047596.

It is an arithmetic number, because the mean of its divisors is an integer number (395367333660).

Almost surely, 220353234544000 is an apocalyptic number.

20353234544000 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 20353234544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303509354240).

20353234544000 is an abundant number, since it is smaller than the sum of its proper divisors (30253784164480).

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

20353234544000 is an equidigital number, since it uses as much as digits as its factorization.

20353234544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95285 (or 95263 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 20353234544000 its reverse (44543235302), we get a palindrome (20397777779302).

The spelling of 20353234544000 in words is "twenty trillion, three hundred fifty-three billion, two hundred thirty-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 16063 32126 64252 79193 80315 128504 158386 160630 257008 316772 321260 395965 401575 514016 633544 642520 791930 803150 1028032 1267088 1285040 1583860 1606300 1979825 2007875 2056064 2534176 2570080 3167720 3212600 3959650 4015750 5068352 5140160 6335440 6425200 7919300 8031500 9899125 10136704 10280320 12670880 12850400 15838600 16063000 19798250 25341760 25700800 31677200 32126000 39596500 50683520 51401600 63354400 64252000 79193000 126708800 128504000 158386000 253417600 257008000 316772000 633544000 1267088000 1272077159 2544154318 5088308636 6360385795 10176617272 12720771590 20353234544 25441543180 31801928975 40706469088 50883086360 63603857950 81412938176 101766172720 127207715900 159009644875 162825876352 203532345440 254415431800 318019289750 407064690880 508830863600 636038579500 814129381760 1017661727200 1272077159000 2035323454400 2544154318000 4070646908800 5088308636000 10176617272000 20353234544000