Search a number
-
+
59097361420825 = 52721334331080973
BaseRepresentation
bin11010110111111101011010…
…01111000001001000011001
321202020122121201122201120021
431123332231033001020121
530221222344010431300
6325404541505030441
715306433464544300
oct1533765517011031
9252218551581507
1059097361420825
1117915060947772
12676556a925421
1326c8b1b562540
141084482b49437
156c73d0ac4d1a
hex35bfad3c1219

59097361420825 has 72 divisors (see below), whose sum is σ = 91829056944408. Its totient is φ = 37395750712320.

The previous prime is 59097361420751. The next prime is 59097361420841. The reversal of 59097361420825 is 52802416379095.

It can be written as a sum of positive squares in 12 ways, for example, as 17741516836624 + 41355844584201 = 4212068^2 + 6430851^2 .

It is not a de Polignac number, because 59097361420825 - 213 = 59097361412633 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54130039 + ... + 55211011.

It is a 1-persistent number, because it is pandigital, but 2⋅59097361420825 = 118194722841650 is not.

Almost surely, 259097361420825 is an apocalyptic number.

It is an amenable number.

59097361420825 is a deficient number, since it is larger than the sum of its proper divisors (32731695523583).

59097361420825 is a wasteful number, since it uses less digits than its factorization.

59097361420825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084443 (or 1084431 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 59097361420825 in words is "fifty-nine trillion, ninety-seven billion, three hundred sixty-one million, four hundred twenty thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 175 245 325 455 637 1225 2275 3185 3433 15925 17165 24031 44629 85825 120155 168217 223145 312403 600775 841085 1080973 1115725 1562015 2186821 4205425 5404865 7566811 7810075 10934105 14052649 27024325 37834055 52967677 54670525 70263245 98368543 189170275 264838385 351316225 491842715 688579801 1324191925 2459213575 3442899005 3710980309 17214495025 18554901545 25976862163 48242744017 92774507725 129884310815 181838035141 241213720085 337699208119 649421554075 909190175705 1206068600425 1688496040595 2363894456833 4545950878525 8442480202975 11819472284165 59097361420825