Base | Representation |
---|---|
bin | 10110001111101100011100… |
… | …01011110010111100000000 |
3 | 20102012111022100200221222100 |
4 | 23013312032023302330000 |
5 | 22402432042101203130 |
6 | 252012302401310400 |
7 | 13206122615214534 |
oct | 1307661613627400 |
9 | 212174270627870 |
10 | 48917767991040 |
11 | 1464a9aa824813 |
12 | 55a0711635400 |
13 | 213ac05a94790 |
14 | c118bdc15bc4 |
15 | 59c6e3ed8c60 |
hex | 2c7d8e2f2f00 |
48917767991040 has 1728 divisors, whose sum is σ = 191169018593280. Its totient is φ = 11467611832320.
The previous prime is 48917767991039. The next prime is 48917767991117. The reversal of 48917767991040 is 4019976771984.
48917767991040 is a `hidden beast` number, since 489 + 1 + 7 + 7 + 6 + 7 + 99 + 10 + 40 = 666.
48917767991040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 48917767991040.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96105634306 + ... + 96105634814.
Almost surely, 248917767991040 is an apocalyptic number.
48917767991040 is a gapful number since it is divisible by the number (40) 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 48917767991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95584509296640).
48917767991040 is an abundant number, since it is smaller than the sum of its proper divisors (142251250602240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48917767991040 is a wasteful number, since it uses less digits than its factorization.
48917767991040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 870 (or 853 counting only the distinct ones).
The product of its (nonzero) digits is 192036096, while the sum is 72.
The spelling of 48917767991040 in words is "forty-eight trillion, nine hundred seventeen billion, seven hundred sixty-seven million, nine hundred ninety-one thousand, forty".
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