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20502353114144 = 25111372112014921
BaseRepresentation
bin1001010100101100100110…
…11110010111010000100000
32200121000011020110210122222
410222112103132113100200
510141402304344123034
6111334352340450212
74214150265030326
oct452262336272040
980530136423588
1020502353114144
116594aa9923a70
1223715b06a9968
13b59495ab2635
1450c467bb7d16
152584a737d12e
hex12a593797420

20502353114144 has 96 divisors (see below), whose sum is σ = 44565109872192. Its totient is φ = 9207378432000.

The previous prime is 20502353114141. The next prime is 20502353114161. The reversal of 20502353114144 is 44141135320502.

It is not an unprimeable number, because it can be changed into a prime (20502353114141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9167804 + ... + 11182724.

It is an arithmetic number, because the mean of its divisors is an integer number (464219894502).

Almost surely, 220502353114144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20502353114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282554936096).

20502353114144 is an abundant number, since it is smaller than the sum of its proper divisors (24062756758048).

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

20502353114144 is a wasteful number, since it uses less digits than its factorization.

20502353114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015290 (or 2015282 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 20502353114144 its reverse (44141135320502), we get a palindrome (64643488434646).

The spelling of 20502353114144 in words is "twenty trillion, five hundred two billion, three hundred fifty-three million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 211 274 352 422 548 844 1096 1507 1688 2192 2321 3014 3376 4384 4642 6028 6752 9284 12056 18568 24112 28907 37136 48224 57814 74272 115628 231256 317977 462512 635954 925024 1271908 2014921 2543816 4029842 5087632 8059684 10175264 16119368 22164131 32238736 44328262 64477472 88656524 177313048 276044177 354626096 425148331 552088354 709252192 850296662 1104176708 1700593324 2208353416 3036485947 3401186648 4416706832 4676631641 6072971894 6802373296 8833413664 9353263282 12145943788 13604746592 18706526564 24291887576 37413053128 48583775152 58245321347 74826106256 97167550304 116490642694 149652212512 232981285388 465962570776 640698534817 931925141552 1281397069634 1863850283104 2562794139268 5125588278536 10251176557072 20502353114144