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19563035152144 = 241121005232
BaseRepresentation
bin1000111001010110111111…
…10000101100111100010000
32120021012121120000022011211
410130223133300230330100
510031010043444332034
6105335045000545504
74056245151060061
oct434533760547420
976235546008154
1019563035152144
116262700377400
12223b544a82294
13abba2b664773
144b8bdaa44568
1523dd2d18ed64
hex11cadfc2cf10

19563035152144 has 45 divisors (see below), whose sum is σ = 41662808020519. Its totient is φ = 8892200245280.

The previous prime is 19563035152079. The next prime is 19563035152147. The reversal of 19563035152144 is 44125153036591.

The square root of 19563035152144 is 4423012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19563035152147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 194562267 + ... + 194662789.

Almost surely, 219563035152144 is an apocalyptic number.

19563035152144 is the 4423012-nd square number.

It is an amenable number.

19563035152144 is an abundant number, since it is smaller than the sum of its proper divisors (22099772868375).

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

19563035152144 is an frugal number, since it uses more digits than its factorization.

19563035152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201076 (or 100536 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 19563035152144 by its sum of digits (49), we get a square (958588722455056 = 309610842).

The spelling of 19563035152144 in words is "nineteen trillion, five hundred sixty-three billion, thirty-five million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 100523 201046 402092 804184 1105753 1608368 2211506 4423012 8846024 12163283 17692048 24326566 48653132 97306264 194612528 10104873529 20209747058 40419494116 80838988232 111153608819 161677976464 222307217638 444614435276 889228870552 1222689697009 1778457741104 2445379394018 4890758788036 9781517576072 19563035152144