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48888088884 = 223259101281811
BaseRepresentation
bin101101100001111101…
…010000100100110100
311200012002120020022200
4231201331100210310
51300110322321014
634243041224500
73350330620245
oct554175204464
9150162506280
1048888088884
1119808062848
129584632130
1347c15ab65b
14251abb0ccc
151411e59a09
hexb61f50934

48888088884 has 144 divisors (see below), whose sum is σ = 127525769280. Its totient is φ = 15785280000.

The previous prime is 48888088859. The next prime is 48888088891.

48888088884 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 60280839 + ... + 60281649.

It is an arithmetic number, because the mean of its divisors is an integer number (885595620).

Almost surely, 248888088884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48888088884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63762884640).

48888088884 is an abundant number, since it is smaller than the sum of its proper divisors (78637680396).

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

48888088884 is a wasteful number, since it uses less digits than its factorization.

48888088884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 268435456, while the sum is 72.

The spelling of 48888088884 in words is "forty-eight billion, eight hundred eighty-eight million, eighty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 101 118 177 202 236 281 303 354 404 531 562 606 708 811 843 909 1062 1124 1212 1622 1686 1818 2124 2433 2529 3244 3372 3636 4866 5058 5959 7299 9732 10116 11918 14598 16579 17877 23836 28381 29196 33158 35754 47849 49737 53631 56762 66316 71508 81911 85143 95698 99474 107262 113524 143547 149211 163822 170286 191396 198948 214524 227891 245733 255429 287094 298422 327644 340572 430641 455782 491466 510858 574188 596844 683673 737199 861282 911564 982932 1021716 1367346 1474398 1674479 1722564 2051019 2734692 2948796 3348958 4102038 4832749 5023437 6697916 8204076 9665498 10046874 13445569 14498247 15070311 19330996 20093748 23016991 26891138 28996494 30140622 40336707 43494741 46033982 53782276 57992988 60281244 69050973 80673414 86989482 92067964 121010121 138101946 161346828 173978964 207152919 242020242 276203892 414305838 484040484 828611676 1358002469 2716004938 4074007407 5432009876 8148014814 12222022221 16296029628 24444044442 48888088884