Search a number
-
+
25535105423040 = 2635120112214559
BaseRepresentation
bin1011100111001010110101…
…11000110101011011000000
310100102010120101211121110210
411303211122320311123000
511321331343442014130
6130150355424554120
75243564500566513
oct563453270653300
9110363511747423
1025535105423040
118155417348a04
122a44a5b182940
131132c4750b725
14643c97336d7a
152e43601425b0
hex17395ae356c0

25535105423040 has 112 divisors (see below), whose sum is σ = 81080746306560. Its totient is φ = 6808791444480.

The previous prime is 25535105422993. The next prime is 25535105423117. The reversal of 25535105423040 is 4032450153552.

It is a super-3 number, since 3×255351054230403 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25535105423040.

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 15 ways as a sum of consecutive naturals, for example, 10423281 + ... + 12637839.

It is an arithmetic number, because the mean of its divisors is an integer number (723935234880).

Almost surely, 225535105423040 is an apocalyptic number.

25535105423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25535105423040 is an abundant number, since it is smaller than the sum of its proper divisors (55545640883520).

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

25535105423040 is a wasteful number, since it uses less digits than its factorization.

25535105423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226590 (or 2226580 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

Adding to 25535105423040 its reverse (4032450153552), we get a palindrome (29567555576592).

The spelling of 25535105423040 in words is "twenty-five trillion, five hundred thirty-five billion, one hundred five million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 12011 24022 36033 48044 60055 72066 96088 120110 144132 180165 192176 240220 288264 360330 384352 480440 576528 720660 768704 960880 1153056 1441320 1921760 2214559 2306112 2882640 3843520 4429118 5765280 6643677 8858236 11072795 11530560 13287354 17716472 22145590 26574708 33218385 35432944 44291180 53149416 66436770 70865888 88582360 106298832 132873540 141731776 177164720 212597664 265747080 354329440 425195328 531494160 708658880 1062988320 2125976640 26599068149 53198136298 79797204447 106396272596 132995340745 159594408894 212792545192 265990681490 319188817788 398986022235 425585090384 531981362980 638377635576 797972044470 851170180768 1063962725960 1276755271152 1595944088940 1702340361536 2127925451920 2553510542304 3191888177880 4255850903840 5107021084608 6383776355760 8511701807680 12767552711520 25535105423040