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5048486848405 = 5721121321007681
BaseRepresentation
bin100100101110111000101…
…0000111110011110010101
3122212122000201200020021101
41021131301100332132111
51130203300113122110
614423124241550101
71030512132113200
oct111356120763625
918778021606241
105048486848405
111677062237400
12696520045331
132a80bb4b8800
141364c314c937
158b4c932013a
hex4977143e795

5048486848405 has 108 divisors (see below), whose sum is σ = 8387882491716. Its totient is φ = 2905020518400.

The previous prime is 5048486848403. The next prime is 5048486848417.

5048486848405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 259991891236 + 4788494957169 = 509894^2 + 2188263^2 .

It is not a de Polignac number, because 5048486848405 - 21 = 5048486848403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048486848403) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 4506165 + ... + 5513845.

It is an arithmetic number, because the mean of its divisors is an integer number (77665578627).

Almost surely, 25048486848405 is an apocalyptic number.

5048486848405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5048486848405 is a deficient number, since it is larger than the sum of its proper divisors (3339395643311).

5048486848405 is a wasteful number, since it uses less digits than its factorization.

5048486848405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007748 (or 1007717 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 64.

The spelling of 5048486848405 in words is "five trillion, forty-eight billion, four hundred eighty-six million, eight hundred forty-eight thousand, four hundred five".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 121 143 169 245 385 455 539 605 637 715 845 847 1001 1183 1573 1859 2695 3185 4235 5005 5915 5929 7007 7865 8281 9295 11011 13013 20449 29645 35035 41405 55055 65065 77077 91091 102245 143143 385385 455455 715715 1002001 1007681 5010005 5038405 7053767 11084491 13099853 35268835 49376369 55422455 65499265 77591437 91698971 121929401 144098383 170298089 246881845 387957185 458494855 543140059 609647005 641892797 720491915 851490445 853505807 1008688681 1192086623 1585082213 1873278979 2715700295 3209463985 4267529035 5043443405 5960433115 5974540649 7060820767 7925411065 8344606361 9366394895 11095575491 13112952853 20606068769 29872703245 35304103835 41723031805 55477877455 65564764265 77669028437 91790669971 103030343845 144242481383 388345142185 458953349855 721212406915 1009697369681 5048486848405