Search a number
-
+
58418322800056 = 231916756914812731
BaseRepresentation
bin11010100100001100100110…
…11000001111110110111000
321122211201220100200201110021
431102012103120033312320
530124111211114100211
6324125001302500224
715206404332523462
oct1522062330176670
9248751810621407
1058418322800056
111768308729258a
126675a42134674
132679a93a0759b
14105d6676a3132
156b48dbd8b771
hex35219360fdb8

58418322800056 has 128 divisors (see below), whose sum is σ = 116314615872000. Its totient is φ = 27429208934400.

The previous prime is 58418322800023. The next prime is 58418322800093. The reversal of 58418322800056 is 65000822381485.

58418322800056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58418322799976 and 58418322800012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21390816211 + ... + 21390818941.

It is an arithmetic number, because the mean of its divisors is an integer number (908707936500).

Almost surely, 258418322800056 is an apocalyptic number.

It is an amenable number.

58418322800056 is a deficient number, since it is larger than the sum of its proper divisors (57896293071944).

58418322800056 is a wasteful number, since it uses less digits than its factorization.

58418322800056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 58418322800056 in words is "fifty-eight trillion, four hundred eighteen billion, three hundred twenty-two million, eight hundred thousand, fifty-six".

Divisors: 1 2 4 8 19 38 76 152 167 334 569 668 1138 1336 1481 2276 2731 2962 3173 4552 5462 5924 6346 10811 10924 11848 12692 21622 21848 25384 28139 43244 51889 56278 86488 95023 103778 112556 190046 207556 225112 247327 380092 415112 456077 494654 760184 842689 912154 989308 1553939 1685378 1805437 1824308 1978616 3107878 3370756 3610874 3648616 4044611 4699213 6215756 6741512 7221748 8089222 8665463 9398426 12431512 14443496 16011091 16178444 17330926 18796852 29524841 32022182 32356888 34661852 37593704 59049682 64044364 69323704 76847609 118099364 128088728 140729063 153695218 236198728 259507813 281458126 307390436 519015626 562916252 614780872 675450037 1038031252 1125832504 1350900074 2076062504 2301383659 2673852197 2701800148 4602767318 4930648447 5347704394 5403600296 9205534636 9861296894 10695408788 12833550703 18411069272 19722593788 21390817576 25667101406 39445187576 43726289521 51334202812 87452579042 102668405624 174905158084 349810316168 384331071053 768662142106 1537324284212 3074648568424 7302290350007 14604580700014 29209161400028 58418322800056