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20241457024544 = 257826310935937
BaseRepresentation
bin1001001101000110101001…
…10110110000111000100000
32122200001201221110020120122
410212203110312300320200
510123114000444241134
6111014444052055412
74156253113614440
oct446432466607040
978601657406518
1020241457024544
1164a4398884398
12232ab1b004568
13b3a9b84ab762
144dd998224120
152517d7b9d02e
hex1268d4db0e20

20241457024544 has 48 divisors (see below), whose sum is σ = 45548794182528. Its totient is φ = 8673859510272.

The previous prime is 20241457024519. The next prime is 20241457024559. The reversal of 20241457024544 is 44542075414202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20241457024495 and 20241457024504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3617057 + ... + 7318880.

It is an arithmetic number, because the mean of its divisors is an integer number (948933212136).

Almost surely, 220241457024544 is an apocalyptic number.

It is an amenable number.

20241457024544 is an abundant number, since it is smaller than the sum of its proper divisors (25307337157984).

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

20241457024544 is a wasteful number, since it uses less digits than its factorization.

20241457024544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944217 (or 10944209 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 44.

The spelling of 20241457024544 in words is "twenty trillion, two hundred forty-one billion, four hundred fifty-seven million, twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 8263 16526 33052 57841 66104 115682 132208 231364 264416 462728 925456 1850912 10935937 21871874 43743748 76551559 87487496 153103118 174974992 306206236 349949984 612412472 1224824944 2449649888 90363647431 180727294862 361454589724 632545532017 722909179448 1265091064034 1445818358896 2530182128068 2891636717792 5060364256136 10120728512272 20241457024544