Search a number
-
+
535501005210424 = 23111311657195114369
BaseRepresentation
bin111100111000010010000101…
…1001100010100001100111000
32121020001101200210002020001001
41321300210023030110030320
51030142122024313213144
65134525433213534344
7220536446054340361
oct17160441314241470
92536041623066031
10535501005210424
11145699778a602a0
12500878231a43b4
1319ca56b3357916
14963455bab8b68
1541d9923ddbbd4
hex1e7090b314338

535501005210424 has 128 divisors (see below), whose sum is σ = 1105013398579200. Its totient is φ = 241265157120000.

The previous prime is 535501005210383. The next prime is 535501005210427. The reversal of 535501005210424 is 424012500105535.

It is a super-2 number, since 2×5355010052104242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535501005210427) 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, 37267791912 + ... + 37267806280.

It is an arithmetic number, because the mean of its divisors is an integer number (8632917176400).

Almost surely, 2535501005210424 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 535501005210424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552506699289600).

535501005210424 is an abundant number, since it is smaller than the sum of its proper divisors (569512393368776).

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

535501005210424 is a wasteful number, since it uses less digits than its factorization.

535501005210424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18125 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 535501005210424 its reverse (424012500105535), we get a palindrome (959513505315959).

The spelling of 535501005210424 in words is "five hundred thirty-five trillion, five hundred one billion, five million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 1657 1951 2882 3314 3902 5764 6628 7804 11528 13256 14369 15608 18227 21461 28738 36454 42922 57476 72908 85844 114952 145816 158059 171688 217067 255581 316118 434134 511162 632236 868268 1022324 1264472 1736536 1882339 2044648 2387737 2811391 3232807 3764678 4775474 5622782 6465614 7529356 9550948 11245564 12931228 15058712 19101896 20705729 22491128 23809433 25862456 28033919 35560877 41411458 47618866 56067838 71121754 82822916 95237732 112135676 142243508 165645832 190475464 224271352 261903763 284487016 308373109 423497717 523807526 616746218 846995434 1047615052 1233492436 1693990868 2095230104 2466984872 3119035723 3387981736 3672443389 4658474887 6238071446 7344886778 9316949774 12476142892 14689773556 18633899548 24952285784 29379547112 34309392953 37267799096 40396877279 46452203783 68618785906 80793754558 92904407566 137237571812 161587509116 185808815132 274475143624 323175018232 371617630264 510974241613 1021948483226 2043896966452 4087793932904 6085238695573 12170477391146 24340954782292 48681909564584 66937625651303 133875251302606 267750502605212 535501005210424