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48978887984 = 24134127121193
BaseRepresentation
bin101101100111010111…
…101000010100110000
311200102102102022021022
4231213113220110300
51300302043403414
634300043315012
73352512451535
oct554727502460
9150372368238
1048978887984
111985433a524
1295aab1ba68
134807350230
142528c88d8c
151419de318e
hexb675e8530

48978887984 has 80 divisors (see below), whose sum is σ = 105080191104. Its totient is φ = 21971865600.

The previous prime is 48978887963. The next prime is 48978888043.

48978887984 is nontrivially palindromic in base 10.

48978887984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48978887899 and 48978887908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300492 + ... + 2321684.

Almost surely, 248978887984 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 48978887984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52540095552).

48978887984 is an abundant number, since it is smaller than the sum of its proper divisors (56101303120).

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

48978887984 is a wasteful number, since it uses less digits than its factorization.

48978887984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21526 (or 21520 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 80.

The spelling of 48978887984 in words is "forty-eight billion, nine hundred seventy-eight million, eight hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 271 328 533 542 656 1066 1084 2132 2168 3523 4264 4336 7046 8528 11111 14092 21193 22222 28184 42386 44444 56368 84772 88888 144443 169544 177776 275509 288886 339088 551018 577772 868913 1102036 1155544 1737826 2204072 2311088 3475652 4408144 5743303 6951304 11295869 11486606 13902608 22591738 22973212 45183476 45946424 74662939 90366952 91892848 149325878 180733904 235475423 298651756 470950846 597303512 941901692 1194607024 1883803384 3061180499 3767606768 6122360998 12244721996 24489443992 48978887984