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1036055265424 = 241925922272
BaseRepresentation
bin11110001001110011011…
…01001100000010010000
310200001020110202200102221
433010321231030002100
5113433320121443144
62111542431550424
7134565262310644
oct17047155140220
93601213680387
101036055265424
1136a430207513
1214896498b414
137691300961a
1438206b68c24
151be3bc92d84
hexf139b4c090

1036055265424 has 135 divisors (see below), whose sum is σ = 2164620123507. Its totient is φ = 480319694784.

The previous prime is 1036055265389. The next prime is 1036055265437. The reversal of 1036055265424 is 4245625506301.

The square root of 1036055265424 is 1017868.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×10360552654243 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4564119999 + ... + 4564120225.

Almost surely, 21036055265424 is an apocalyptic number.

1036055265424 is the 1017868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036055265424

1036055265424 is an abundant number, since it is smaller than the sum of its proper divisors (1128564858083).

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

1036055265424 is an frugal number, since it uses more digits than its factorization.

1036055265424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 1036055265424 in words is "one trillion, thirty-six billion, fifty-five million, two hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 227 236 304 361 454 472 722 908 944 1121 1444 1816 2242 2888 3481 3632 4313 4484 5776 6962 8626 8968 13393 13924 17252 17936 21299 26786 27848 34504 42598 51529 53572 55696 66139 69008 81947 85196 103058 107144 132278 163894 170392 206116 214288 254467 264556 327788 340784 412232 508934 529112 655576 790187 824464 979051 1017868 1058224 1256641 1311152 1580374 1958102 2035736 2513282 3040211 3160748 3916204 4071472 4834873 5026564 6080422 6321496 7832408 9669746 10053128 12160844 12642992 15013553 15664816 18601969 19339492 20106256 24321688 30027106 37203938 38678984 48643376 57764009 60054212 74407876 77357968 115528018 120108424 148815752 179372449 231056036 240216848 285257507 297631504 358744898 462112072 570515014 717489796 924224144 1097516171 1141030028 1434979592 2195032342 2282060056 2869959184 3408076531 4390064684 4564120112 6816153062 8780129368 13632306124 17560258736 27264612248 54529224496 64753454089 129506908178 259013816356 518027632712 1036055265424