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48480438162 = 23132317392087
BaseRepresentation
bin101101001001101010…
…001100011110010010
311122010200111102122210
4231021222030132102
51243241443010122
634134400012550
73334250632212
oct551152143622
9148120442583
1048480438162
1119618a41822
129490001156
134757cbb900
1424bc9b8242
1513db28440c
hexb49a8c792

48480438162 has 96 divisors (see below), whose sum is σ = 108578672640. Its totient is φ = 14409420480.

The previous prime is 48480438161. The next prime is 48480438191. The reversal of 48480438162 is 26183408484.

It is a super-4 number, since 4×484804381624 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (48480438161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23228683 + ... + 23230769.

It is an arithmetic number, because the mean of its divisors is an integer number (1131027840).

Almost surely, 248480438162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48480438162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54289336320).

48480438162 is an abundant number, since it is smaller than the sum of its proper divisors (60098234478).

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

48480438162 is a wasteful number, since it uses less digits than its factorization.

48480438162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 48480438162 in words is "forty-eight billion, four hundred eighty million, four hundred thirty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 739 806 1014 1209 1478 2087 2217 2418 4174 4434 5239 6261 9607 10478 12522 15717 19214 22909 27131 28821 31434 45818 54262 57642 64697 68727 81393 124891 129394 137454 162786 194091 249782 297817 352703 374673 388182 595634 705406 749346 841061 893451 1058109 1542293 1682122 1786902 2116218 2523183 3084586 3871621 4626879 5046366 7743242 9253758 10933793 11614863 20049809 21867586 23229726 32801379 40099618 47811083 60149427 65602758 95622166 120298854 143433249 260647517 286866498 521295034 621544079 781942551 1243088158 1563885102 1864632237 3729264474 8080073027 16160146054 24240219081 48480438162