Search a number
-
+
32413530013425 = 325211127311331579
BaseRepresentation
bin1110101111010110111001…
…11100010011111011110001
311020202200222122012212122100
413113223130330103323301
513222030402140412200
6152534323051331013
76553541330122461
oct727533474237361
9136680878185570
1032413530013425
11a367556745610
123775b61750a69
131511776446852
14800b74cd3ba1
153b323c3e7d00
hex1d7adcf13ef1

32413530013425 has 144 divisors (see below), whose sum is σ = 64038209863680. Its totient is φ = 15541724016000.

The previous prime is 32413530013393. The next prime is 32413530013433. The reversal of 32413530013425 is 52431003531423.

32413530013425 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 3 + 5 + 300 + 1 + 342 + 5 = 666.

It is not a de Polignac number, because 32413530013425 - 25 = 32413530013393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32413530013425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97589286 + ... + 97920864.

It is an arithmetic number, because the mean of its divisors is an integer number (444709790720).

Almost surely, 232413530013425 is an apocalyptic number.

It is an amenable number.

32413530013425 is a deficient number, since it is larger than the sum of its proper divisors (31624679850255).

32413530013425 is a wasteful number, since it uses less digits than its factorization.

32413530013425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332044 (or 332036 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 32413530013425 its reverse (52431003531423), we get a palindrome (84844533544848).

The spelling of 32413530013425 in words is "thirty-two trillion, four hundred thirteen billion, five hundred thirty million, thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 127 165 225 275 311 381 495 635 825 933 1143 1397 1555 1905 2475 2799 3175 3421 4191 4665 5715 6985 7775 9525 10263 12573 13995 17105 20955 23325 28575 30789 34925 39497 51315 62865 69975 85525 104775 118491 153945 197485 256575 314325 331579 355473 434467 592455 769725 987425 994737 1303401 1657895 1777365 2172335 2962275 2984211 3647369 3910203 4973685 6517005 8289475 8886825 10861675 10942107 14921055 18236845 19551015 24868425 32585025 32826321 42110533 54710535 74605275 91184225 97755075 103121069 126331599 164131605 210552665 273552675 309363207 378994797 463215863 515605345 631657995 820658025 928089621 1052763325 1134331759 1389647589 1546816035 1894973985 2316079315 2578026725 3158289975 3402995277 4168942767 4640448105 5671658795 6948237945 7734080175 9474869925 10208985831 11580396575 13096375763 17014976385 20844713835 23202240525 28358293975 34741189725 39289127289 51044929155 65481878815 85074881925 104223569175 117867381867 144060133393 196445636445 255224645775 327409394075 432180400179 589336909335 720300666965 982228182225 1296541200537 2160902000895 2946684546675 3601503334825 6482706002685 10804510004475 32413530013425