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544020305004 = 22321117269300413
BaseRepresentation
bin1111110101010100010…
…00110001010001101100
31221000012201011220102100
413322222020301101230
532403123144230004
61053530335055100
754206221203111
oct7725210612154
91830181156370
10544020305004
1119a799309160
1289527371490
133c3bb0b0c27
141c48b70c908
15e240551739
hex7eaa23146c

544020305004 has 144 divisors (see below), whose sum is σ = 1594333147680. Its totient is φ = 154579998720.

The previous prime is 544020304973. The next prime is 544020305047. The reversal of 544020305004 is 400503020445.

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 47 ways as a sum of consecutive naturals, for example, 1660702 + ... + 1961114.

It is an arithmetic number, because the mean of its divisors is an integer number (11071757970).

Almost surely, 2544020305004 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 544020305004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797166573840).

544020305004 is an abundant number, since it is smaller than the sum of its proper divisors (1050312842676).

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

544020305004 is a wasteful number, since it uses less digits than its factorization.

544020305004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300720 (or 300715 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 544020305004 its reverse (400503020445), we get a palindrome (944523325449).

The spelling of 544020305004 in words is "five hundred forty-four billion, twenty million, three hundred five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 269 306 374 396 538 561 612 748 807 1076 1122 1614 1683 2244 2421 2959 3228 3366 4573 4842 5918 6732 8877 9146 9684 11836 13719 17754 18292 26631 27438 35508 41157 50303 53262 54876 82314 100606 106524 150909 164628 201212 300413 301818 452727 600826 603636 901239 905454 1201652 1802478 1810908 2703717 3304543 3604956 5107021 5407434 6609086 9913629 10214042 10814868 13218172 15321063 19827258 20428084 29740887 30642126 39654516 45963189 56177231 59481774 61284252 80811097 91926378 112354462 118963548 161622194 168531693 183852756 224708924 242433291 323244388 337063386 484866582 505595079 674126772 727299873 888922067 969733164 1011190158 1373788649 1454599746 1777844134 2022380316 2666766201 2747577298 2909199492 3555688268 4121365947 5333532402 5495154596 8000298603 8242731894 10667064804 12364097841 15111675139 16000597206 16485463788 24728195682 30223350278 32001194412 45335025417 49456391364 60446700556 90670050834 136005076251 181340101668 272010152502 544020305004