| Base | Representation |
|---|---|
| bin | 1010011111101101110… |
| … | …1001010001001100000 |
| 3 | 122020102021120011200000 |
| 4 | 2213323131022021200 |
| 5 | 10423234432242341 |
| 6 | 214500120100000 |
| 7 | 16012210655625 |
| oct | 2477335121140 |
| 9 | 566367504600 |
| 10 | 180312384096 |
| 11 | 6a519704a59 |
| 12 | 2ab42304600 |
| 13 | 1400758a100 |
| 14 | 8a274b434c |
| 15 | 4a54d618b6 |
| hex | 29fb74a260 |
180312384096 has 216 divisors, whose sum is σ = 575809448760. Its totient is φ = 55480329216.
The previous prime is 180312383989. The next prime is 180312384097. The reversal of 180312384096 is 690483213081.
180312384096 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 238 + 409 + 6 = 666.
180312384096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (216).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (180312384097) 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 35 ways as a sum of consecutive naturals, for example, 1245540 + ... + 1382748.
It is an arithmetic number, because the mean of its divisors is an integer number (2665784485).
Almost surely, 2180312384096 is an apocalyptic number.
180312384096 is a gapful number since it is divisible by the number (16) 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 180312384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287904724380).
180312384096 is an abundant number, since it is smaller than the sum of its proper divisors (395497064664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180312384096 is a wasteful number, since it uses less digits than its factorization.
180312384096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137260 (or 137227 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 180312384096 in words is "one hundred eighty billion, three hundred twelve million, three hundred eighty-four thousand, ninety-six".
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