Base | Representation |
---|---|
bin | 100100101101111000111… |
… | …0101110010000000000000 |
3 | 122212102111201221221102000 |
4 | 1021123301311302000000 |
5 | 1130134410321403432 |
6 | 14422132152424000 |
7 | 1030405142604660 |
oct | 111336165620000 |
9 | 18772451857360 |
10 | 5046349012992 |
11 | 1676165506a81 |
12 | 6960240a8000 |
13 | 2a7b3a611441 |
14 | 13635d2541a0 |
15 | 8b4017d257c |
hex | 496f1d72000 |
5046349012992 has 896 divisors, whose sum is σ = 18021656494080. Its totient is φ = 1365006090240.
The previous prime is 5046349012973. The next prime is 5046349012993. The reversal of 5046349012992 is 2992109436405.
5046349012992 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 349 + 0 + 1 + 299 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (896).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (5046349012993) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 2255854498 + ... + 2255856734.
Almost surely, 25046349012992 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 5046349012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010828247040).
5046349012992 is an abundant number, since it is smaller than the sum of its proper divisors (12975307481088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5046349012992 is a wasteful number, since it uses less digits than its factorization.
5046349012992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2357 (or 2327 counting only the distinct ones).
The product of its (nonzero) digits is 4199040, while the sum is 54.
The spelling of 5046349012992 in words is "five trillion, forty-six billion, three hundred forty-nine million, twelve thousand, nine hundred ninety-two".
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