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20204044332400 = 24522831198114897
BaseRepresentation
bin1001001100000000111101…
…11000101010110101110000
32122112111011120212120020001
410212000132320222311300
510122010340322114100
6110545335420155344
74153460024153305
oct446003670526560
978474146776201
1020204044332400
11648a53a342005
122323819698b54
13b373054770b6
144dbc495130ac
152508483dad6a
hex12601ee2ad70

20204044332400 has 120 divisors (see below), whose sum is σ = 48719072632464. Its totient is φ = 8051848089600.

The previous prime is 20204044332397. The next prime is 20204044332401. The reversal of 20204044332400 is 423344040202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20204044332401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356241752 + ... + 1356256648.

Almost surely, 220204044332400 is an apocalyptic number.

20204044332400 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 20204044332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359536316232).

20204044332400 is an abundant number, since it is smaller than the sum of its proper divisors (28515028300064).

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

20204044332400 is a wasteful number, since it uses less digits than its factorization.

20204044332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27179 (or 27168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20204044332400 its reverse (423344040202), we get a palindrome (20627388372602).

The spelling of 20204044332400 in words is "twenty trillion, two hundred four billion, forty-four million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 283 400 566 1132 1415 2264 2830 4528 5660 7075 11320 11981 14150 14897 22640 23962 28300 29794 47924 56600 59588 59905 74485 95848 113200 119176 119810 148970 191696 238352 239620 297940 299525 372425 479240 595880 599050 744850 958480 1191760 1198100 1489700 2396200 2979400 3390623 4215851 4792400 5958800 6781246 8431702 13562492 16863404 16953115 21079255 27124984 33726808 33906230 42158510 54249968 67453616 67812460 84317020 84765575 105396275 135624920 168634040 169531150 178480957 210792550 271249840 337268080 339062300 356961914 421585100 678124600 713923828 843170200 892404785 1356249200 1427847656 1686340400 1784809570 2855695312 3569619140 4462023925 7139238280 8924047850 14278476560 17848095700 35696191400 50510110831 71392382800 101020221662 202040443324 252550554155 404080886648 505101108310 808161773296 1010202216620 1262752770775 2020404433240 2525505541550 4040808866480 5051011083100 10102022166200 20204044332400