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48884012424 = 233213211247519
BaseRepresentation
bin101101100001101101…
…101101010110001000
311200011210220010110200
4231201231231112020
51300103301344144
634242414012200
73350251151442
oct554155552610
9150153803420
1048884012424
1119805829075
1295831a7060
1347c07b2050
14251a42d492
151411901c69
hexb61b6d588

48884012424 has 96 divisors (see below), whose sum is σ = 143254675200. Its totient is φ = 14969888640.

The previous prime is 48884012399. The next prime is 48884012447. The reversal of 48884012424 is 42421048884.

48884012424 is a `hidden beast` number, since 488 + 8 + 40 + 124 + 2 + 4 = 666.

48884012424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48884012424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73737 + ... + 321255.

It is an arithmetic number, because the mean of its divisors is an integer number (1492236200).

Almost surely, 248884012424 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 48884012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71627337600).

48884012424 is an abundant number, since it is smaller than the sum of its proper divisors (94370662776).

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

48884012424 is a wasteful number, since it uses less digits than its factorization.

48884012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247755 (or 247748 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

It can be divided in two parts, 488840 and 12424, that added together give a square (501264 = 7082).

The spelling of 48884012424 in words is "forty-eight billion, eight hundred eighty-four million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 211 234 312 422 468 633 844 936 1266 1688 1899 2532 2743 3798 5064 5486 7596 8229 10972 15192 16458 21944 24687 32916 49374 65832 98748 197496 247519 495038 742557 990076 1485114 1980152 2227671 2970228 3217747 4455342 5940456 6435494 8910684 9653241 12870988 17821368 19306482 25741976 28959723 38612964 52226509 57919446 77225928 104453018 115838892 156679527 208906036 231677784 313359054 417812072 470038581 626718108 678944617 940077162 1253436216 1357889234 1880154324 2036833851 2715778468 3760308648 4073667702 5431556936 6110501553 8147335404 12221003106 16294670808 24442006212 48884012424