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5048098125 = 35471931653
BaseRepresentation
bin1001011001110001…
…11101110101001101
3111000210212221210020
410230320331311031
540314303120000
62152530132353
7236045061150
oct45470756515
914023787706
105048098125
112160579924
12b8a7210b9
13625acc415
1435c621c97
151e82a7ba0
hex12ce3dd4d

5048098125 has 160 divisors (see below), whose sum is σ = 10460651520. Its totient is φ = 2112480000.

The previous prime is 5048098093. The next prime is 5048098129. The reversal of 5048098125 is 5218908405.

It is a happy number.

5048098125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5048098125 - 25 = 5048098093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048098129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7730299 + ... + 7730951.

It is an arithmetic number, because the mean of its divisors is an integer number (65379072).

Almost surely, 25048098125 is an apocalyptic number.

It is an amenable number.

5048098125 is an abundant number, since it is smaller than the sum of its proper divisors (5412553395).

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

5048098125 is a wasteful number, since it uses less digits than its factorization.

5048098125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 5048098125 is about 71049.9692118160. The cubic root of 5048098125 is about 1715.4415673439.

The spelling of 5048098125 in words is "five billion, forty-eight million, ninety-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 31 35 57 75 93 95 105 125 133 155 175 217 285 375 399 465 475 525 589 625 651 653 665 775 875 1085 1425 1767 1875 1959 1995 2325 2375 2625 2945 3255 3265 3325 3875 4123 4375 4571 5425 7125 8835 9795 9975 11625 11875 12369 12407 13125 13713 14725 16275 16325 16625 19375 20243 20615 22855 27125 35625 37221 44175 48975 49875 58125 60729 61845 62035 68565 73625 81375 81625 83125 86849 101215 103075 114275 135625 141701 186105 220875 244875 249375 260547 303645 309225 310175 342825 368125 384617 406875 408125 425103 434245 506075 515375 571375 708505 930525 1104375 1153851 1224375 1302735 1518225 1546125 1550875 1714125 1923085 2125515 2171225 2530375 2576875 2692319 2856875 3542525 4652625 5769255 6513675 7591125 7730625 7754375 8076957 8570625 9615425 10627575 10856125 12651875 13461595 17712625 23263125 28846275 32568375 37955625 40384785 48077125 53137875 54280625 67307975 88563125 144231375 162841875 201923925 240385625 265689375 336539875 721156875 1009619625 1682699375 5048098125