Base | Representation |
---|---|
bin | 1011001101110111100001… |
… | …0000101110100010000000 |
3 | 1121200000021211101000120100 |
4 | 2303131320100232202000 |
5 | 3104030203400221012 |
6 | 42121350334442400 |
7 | 2412006661532523 |
oct | 263357020564200 |
9 | 47600254330510 |
10 | 12332868757632 |
11 | 3a25381995205 |
12 | 1472238963400 |
13 | 6b5ca50359b7 |
14 | 308cb216abba |
15 | 165c15ec58dc |
hex | b377842e880 |
12332868757632 has 384 divisors, whose sum is σ = 37908035942400. Its totient is φ = 3835078410240.
The previous prime is 12332868757619. The next prime is 12332868757637. The reversal of 12332868757632 is 23675786823321.
12332868757632 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 28 + 6 + 8 + 7 + 576 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a self number, because there is not a number n which added to its sum of digits gives 12332868757632.
It is not an unprimeable number, because it can be changed into a prime (12332868757637) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 4151081907 + ... + 4151084877.
It is an arithmetic number, because the mean of its divisors is an integer number (98718843600).
Almost surely, 212332868757632 is an apocalyptic number.
12332868757632 is a gapful number since it is divisible by the number (12) 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 12332868757632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954017971200).
12332868757632 is an abundant number, since it is smaller than the sum of its proper divisors (25575167184768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12332868757632 is a wasteful number, since it uses less digits than its factorization.
12332868757632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4804 (or 4789 counting only the distinct ones).
The product of its digits is 121927680, while the sum is 63.
The spelling of 12332868757632 in words is "twelve trillion, three hundred thirty-two billion, eight hundred sixty-eight million, seven hundred fifty-seven thousand, six hundred thirty-two".
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