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48421566512484 = 223117313740579041
BaseRepresentation
bin10110000001010000001100…
…10001010111110101100100
320100110001112020002010120020
423000220012101113311210
522321314332011344414
6250552321025435140
713125225362225544
oct1300500621276544
9210401466063506
1048421566512484
111447951aa48740
12552051079bab0
1321031988b4139
14bd588b29b324
1558e851acd7a9
hex2c0a06457d64

48421566512484 has 192 divisors, whose sum is σ = 125900260561152. Its totient is φ = 14361432883200.

The previous prime is 48421566512393. The next prime is 48421566512497.

48421566512484 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5355771004 + ... + 5355780044.

It is an arithmetic number, because the mean of its divisors is an integer number (655730523756).

Almost surely, 248421566512484 is an apocalyptic number.

48421566512484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48421566512484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62950130280576).

48421566512484 is an abundant number, since it is smaller than the sum of its proper divisors (77478694048668).

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

48421566512484 is a wasteful number, since it uses less digits than its factorization.

48421566512484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13326 (or 13324 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 48421566512484 in words is "forty-eight trillion, four hundred twenty-one billion, five hundred sixty-six million, five hundred twelve thousand, four hundred eighty-four".