Search a number
-
+
563434424434365 = 3511337762732653
BaseRepresentation
bin1000000000011100001100110…
…0101110001111111010111101
32201212221210201210110021011020
42000013003030232033322331
51042322302200123344430
65314154111251014353
7226451536166214021
oct20007031456177275
92655853653407136
10563434424434365
11153589219985000
125323944889a3b9
131b25083b2b20a3
149d1c52bb32381
15452135087ab10
hex20070ccb8febd

563434424434365 has 64 divisors (see below), whose sum is σ = 1018376232175872. Its totient is φ = 265797074568960.

The previous prime is 563434424434313. The next prime is 563434424434379.

563434424434365 is nontrivially palindromic in base 10.

563434424434365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 563434424434365 - 28 = 563434424434109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 563434424434299 and 563434424434308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380627622 + ... + 382105031.

It is an arithmetic number, because the mean of its divisors is an integer number (15912128627748).

Almost surely, 2563434424434365 is an apocalyptic number.

563434424434365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

563434424434365 is a deficient number, since it is larger than the sum of its proper divisors (454941807741507).

563434424434365 is a wasteful number, since it uses less digits than its factorization.

563434424434365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762732731 (or 762732709 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 60.

The spelling of 563434424434365 in words is "five hundred sixty-three trillion, four hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 407 555 605 1221 1331 1815 2035 3993 4477 6105 6655 13431 19965 22385 49247 67155 147741 246235 738705 762732653 2288197959 3813663265 8390059183 11440989795 25170177549 28221108161 41950295915 84663324483 92290651013 125850887745 141105540805 276871953039 310432189771 423316622415 461453255065 931296569313 1015197161143 1384359765195 1552160948855 3045591483429 3414754087481 4656482846565 5075985805715 10244262262443 15227957417145 17073770437405 37562294962291 51221311312215 112686884886873 187811474811455 563434424434365