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243164532403056 = 243112161325956089
BaseRepresentation
bin110111010010100000100111…
…100100110110101101110000
31011212222022011100120102110210
4313102200213210312231300
5223333001430243344211
62221100124413424120
7102135025540106625
oct6722404744665560
91155868140512423
10243164532403056
1170530554289800
1223332ab9a9b040
13a58b417633644
14440932484c34c
151d1a402d2b9a6
hexdd2827936b70

243164532403056 has 120 divisors (see below), whose sum is σ = 690901487755920. Its totient is φ = 73640536386560.

The previous prime is 243164532402997. The next prime is 243164532403061. The reversal of 243164532403056 is 650304235461342.

243164532403056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 243164532402996 and 243164532403014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609741 + ... + 22346348.

It is an arithmetic number, because the mean of its divisors is an integer number (5757512397966).

Almost surely, 2243164532403056 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 243164532403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345450743877960).

243164532403056 is an abundant number, since it is smaller than the sum of its proper divisors (447736955352864).

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

243164532403056 is a wasteful number, since it uses less digits than its factorization.

243164532403056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25957735 (or 25957718 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

Adding to 243164532403056 its reverse (650304235461342), we get a palindrome (893468767864398).

The spelling of 243164532403056 in words is "two hundred forty-three trillion, one hundred sixty-four billion, five hundred thirty-two million, four hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1613 1936 2904 3226 4839 5808 6452 9678 12904 17743 19356 25808 35486 38712 53229 70972 77424 106458 141944 195173 212916 283888 390346 425832 585519 780692 851664 1171038 1561384 2342076 3122768 4684152 9368304 25956089 51912178 77868267 103824356 155736534 207648712 285516979 311473068 415297424 571033958 622946136 856550937 1142067916 1245892272 1713101874 2284135832 3140686769 3426203748 4568271664 6281373538 6852407496 9422060307 12562747076 13704814992 18844120614 25125494152 37688241228 41867171557 50250988304 75376482456 83734343114 125601514671 150752964912 167468686228 251203029342 334937372456 460538887127 502406058684 669874744912 921077774254 1004812117368 1381616661381 1842155548508 2009624234736 2763233322762 3684311097016 5065927758397 5526466645524 7368622194032 10131855516794 11052933291048 15197783275191 20263711033588 22105866582096 30395566550382 40527422067176 60791133100764 81054844134352 121582266201528 243164532403056