Base | Representation |
---|---|
bin | 100110010111011000010101… |
… | …111000100001011000000000 |
3 | 211010102122221201100222010210 |
4 | 212113120111320201120000 |
5 | 134104003030244011320 |
6 | 1354510341332354120 |
7 | 50353342315313562 |
oct | 4627302570413000 |
9 | 733378851328123 |
10 | 168732452328960 |
11 | 49844038548193 |
12 | 16b11590a75940 |
13 | 731c52c1c8720 |
14 | 2d949a10d9332 |
15 | 14791b942a0e0 |
hex | 997615e21600 |
168732452328960 has 1920 divisors, whose sum is σ = 631904176544256. Its totient is φ = 38147999662080.
The previous prime is 168732452328959. The next prime is 168732452328967. The reversal of 168732452328960 is 69823254237861.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a junction number, because it is equal to n+sod(n) for n = 168732452328891 and 168732452328900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168732452328967) 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 191 ways as a sum of consecutive naturals, for example, 145083793339 + ... + 145083794501.
It is a 1-persistent number, because it is pandigital, but 2⋅168732452328960 = 337464904657920 is not.
Almost surely, 2168732452328960 is an apocalyptic number.
168732452328960 is a gapful number since it is divisible by the number (10) 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 168732452328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315952088272128).
168732452328960 is an abundant number, since it is smaller than the sum of its proper divisors (463171724215296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168732452328960 is a wasteful number, since it uses less digits than its factorization.
168732452328960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1356 (or 1317 counting only the distinct ones).
The product of its (nonzero) digits is 209018880, while the sum is 66.
The spelling of 168732452328960 in words is "one hundred sixty-eight trillion, seven hundred thirty-two billion, four hundred fifty-two million, three hundred twenty-eight thousand, nine hundred sixty".
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