| Base | Representation |
|---|---|
| bin | 100101010101110101000000… |
| … | …011101010101011100000000 |
| 3 | 210112111000111222112122220000 |
| 4 | 211111311000131111130000 |
| 5 | 133011201410424211320 |
| 6 | 1341141103540520000 |
| 7 | 46410030432556230 |
| oct | 4525650035253400 |
| 9 | 715430458478800 |
| 10 | 164227745928960 |
| 11 | 4836766119414a |
| 12 | 1650452b9b0000 |
| 13 | 70837c11c036c |
| 14 | 2c7a94589dcc0 |
| 15 | 13ebe1957cc90 |
| hex | 955d40755700 |
164227745928960 has 4320 divisors, whose sum is σ = 758361389829120. Its totient is φ = 33163246043136.
The previous prime is 164227745928929. The next prime is 164227745928991. The reversal of 164227745928960 is 69829547722461.
164227745928960 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 27 + 7 + 4 + 592 + 8 + 9 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (164227745928929) and next prime (164227745928991).
It is a tau number, because it is divible by the number of its divisors (4320).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 284623476192 + ... + 284623476768.
It is an arithmetic number, because the mean of its divisors is an integer number (175546618016).
Almost surely, 2164227745928960 is an apocalyptic number.
164227745928960 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 164227745928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379180694914560).
164227745928960 is an abundant number, since it is smaller than the sum of its proper divisors (594133643900160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164227745928960 is a wasteful number, since it uses less digits than its factorization.
164227745928960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 733 (or 693 counting only the distinct ones).
The product of its (nonzero) digits is 731566080, while the sum is 72.
The spelling of 164227745928960 in words is "one hundred sixty-four trillion, two hundred twenty-seven billion, seven hundred forty-five million, nine hundred twenty-eight thousand, nine hundred sixty".
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