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544540351644 = 223343586919979
BaseRepresentation
bin1111110110010010010…
…00100101110010011100
31221001112221202000022000
413323021020211302130
532410204312223034
61054054113322300
754225134422062
oct7731110456234
91831487660260
10544540351644
1119aa35917973
1289651566390
133c471a64733
141c4da802032
15e271029599
hex7ec9225c9c

544540351644 has 96 divisors (see below), whose sum is σ = 1444921632000. Its totient is φ = 177253126848.

The previous prime is 544540351643. The next prime is 544540351651. The reversal of 544540351644 is 446153045445.

544540351644 is a `hidden beast` number, since 5 + 4 + 454 + 0 + 35 + 164 + 4 = 666.

544540351644 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 544540351644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544540351643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27245647 + ... + 27265625.

It is an arithmetic number, because the mean of its divisors is an integer number (15051267000).

Almost surely, 2544540351644 is an apocalyptic number.

544540351644 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544540351644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722460816000).

544540351644 is an abundant number, since it is smaller than the sum of its proper divisors (900381280356).

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

544540351644 is a wasteful number, since it uses less digits than its factorization.

544540351644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25904 (or 25896 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 544540351644 in words is "five hundred forty-four billion, five hundred forty million, three hundred fifty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 5869 11738 17607 19979 23476 35214 39958 52821 59937 70428 79916 105642 119874 158463 179811 211284 239748 252367 316926 359622 504734 539433 633852 719244 757101 859097 1009468 1078866 1514202 1718194 2157732 2271303 2577291 3028404 3436388 4542606 5154582 6813909 7731873 9085212 10309164 13627818 15463746 23195619 27255636 30927492 46391238 92782476 117256751 234513502 351770253 469027004 703540506 1055310759 1407081012 2110621518 3165932277 4221243036 5042040293 6331864554 10084080586 12663729108 15126120879 20168161172 30252241758 45378362637 60504483516 90756725274 136135087911 181513450548 272270175822 544540351644