| Base | Representation |
|---|---|
| bin | 111110100011010010… |
| … | …011101110110000000 |
| 3 | 20102100202222120021200 |
| 4 | 332203102131312000 |
| 5 | 2100022443131410 |
| 6 | 50504342221200 |
| 7 | 4565246614302 |
| oct | 764322356600 |
| 9 | 212322876250 |
| 10 | 67164036480 |
| 11 | 26536390772 |
| 12 | 11025124800 |
| 13 | 6444a37c28 |
| 14 | 337210d972 |
| 15 | 1b316703c0 |
| hex | fa349dd80 |
67164036480 has 192 divisors, whose sum is σ = 232101979200. Its totient is φ = 17896808448.
The previous prime is 67164036437. The next prime is 67164036481. The reversal of 67164036480 is 8463046176.
It is a happy number.
67164036480 is a `hidden beast` number, since 6 + 7 + 164 + 0 + 3 + 6 + 480 = 666.
67164036480 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 (192).
It is a super-2 number, since 2×671640364802 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67164036481) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9264217 + ... + 9271463.
It is an arithmetic number, because the mean of its divisors is an integer number (1208864475).
Almost surely, 267164036480 is an apocalyptic number.
67164036480 is a gapful number since it is divisible by the number (60) 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 67164036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116050989600).
67164036480 is an abundant number, since it is smaller than the sum of its proper divisors (164937942720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67164036480 is a wasteful number, since it uses less digits than its factorization.
67164036480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8881 (or 8866 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 67164036480 in words is "sixty-seven billion, one hundred sixty-four million, thirty-six thousand, four hundred eighty".
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