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544563200144 = 2466151490469
BaseRepresentation
bin1111110110010100111…
…11110000000010010000
31221001121112201211112202
413323022133300002100
532410231134401034
61054100251142332
754225532553555
oct7731237600220
91831545654482
10544563200144
1119aa47803327
12896591449a8
133c476704562
141c4dd86ca2c
15e27303e47e
hex7eca7f0090

544563200144 has 20 divisors (see below), whose sum is σ = 1056687425340. Its totient is φ = 271869671040.

The previous prime is 544563200143. The next prime is 544563200147. The reversal of 544563200144 is 441002365445.

It can be written as a sum of positive squares in 2 ways, for example, as 164096287744 + 380466912400 = 405088^2 + 616820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 544563200098 and 544563200107.

It is not an unprimeable number, because it can be changed into a prime (544563200143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25734659 + ... + 25755810.

It is an arithmetic number, because the mean of its divisors is an integer number (52834371267).

Almost surely, 2544563200144 is an apocalyptic number.

It is an amenable number.

544563200144 is a deficient number, since it is larger than the sum of its proper divisors (512124225196).

544563200144 is a wasteful number, since it uses less digits than its factorization.

544563200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51491138 (or 51491132 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 544563200144 its reverse (441002365445), we get a palindrome (985565565589).

The spelling of 544563200144 in words is "five hundred forty-four billion, five hundred sixty-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 661 1322 2644 5288 10576 51490469 102980938 205961876 411923752 823847504 34035200009 68070400018 136140800036 272281600072 544563200144