| Base | Representation |
|---|---|
| bin | 1001100011001011010… |
| … | …0010011111100000000 |
| 3 | 120200110201100011001000 |
| 4 | 2120302310103330000 |
| 5 | 10141444200044300 |
| 6 | 203211351412000 |
| 7 | 14565410206644 |
| oct | 2306264237400 |
| 9 | 520421304030 |
| 10 | 164061331200 |
| 11 | 6363a387428 |
| 12 | 27967984000 |
| 13 | 126177b3190 |
| 14 | 7d25070c24 |
| 15 | 44032c9c00 |
| hex | 2632d13f00 |
164061331200 has 864 divisors, whose sum is σ = 652902656000. Its totient is φ = 40071905280.
The previous prime is 164061331199. The next prime is 164061331201. The reversal of 164061331200 is 2133160461.
164061331200 is a `hidden beast` number, since 1 + 6 + 40 + 613 + 3 + 1 + 2 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (164061331199) and next prime (164061331201).
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×1640613312002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164061331201) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447033417 + ... + 447033783.
Almost surely, 2164061331200 is an apocalyptic number.
164061331200 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 164061331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326451328000).
164061331200 is an abundant number, since it is smaller than the sum of its proper divisors (488841324800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164061331200 is a wasteful number, since it uses less digits than its factorization.
164061331200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 614 (or 589 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 164061331200 its reverse (2133160461), we get a palindrome (166194491661).
The spelling of 164061331200 in words is "one hundred sixty-four billion, sixty-one million, three hundred thirty-one thousand, two hundred".
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