Base | Representation |
---|---|
bin | 1001100101011111100… |
… | …1001100000111000000 |
3 | 120202002001210211112100 |
4 | 2121113321030013000 |
5 | 10144232420214343 |
6 | 203353212030400 |
7 | 14620002343650 |
oct | 2312771140700 |
9 | 522061724470 |
10 | 164683366848 |
11 | 63929515a80 |
12 | 27b00162400 |
13 | 126b6625900 |
14 | 7d83912360 |
15 | 443cbeb9d3 |
hex | 2657e4c1c0 |
164683366848 has 1008 divisors, whose sum is σ = 645994192896. Its totient is φ = 38947184640.
The previous prime is 164683366847. The next prime is 164683366871. The reversal of 164683366848 is 848663386461.
164683366848 is a `hidden beast` number, since 1 + 6 + 468 + 33 + 66 + 84 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×1646833668482 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164683366847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 951926890 + ... + 951927062.
Almost surely, 2164683366848 is an apocalyptic number.
164683366848 is a gapful number since it is divisible by the number (18) 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 164683366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322997096448).
164683366848 is an abundant number, since it is smaller than the sum of its proper divisors (481310826048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164683366848 is a wasteful number, since it uses less digits than its factorization.
164683366848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 336 counting only the distinct ones).
The product of its digits is 95551488, while the sum is 63.
The spelling of 164683366848 in words is "one hundred sixty-four billion, six hundred eighty-three million, three hundred sixty-six thousand, eight hundred forty-eight".
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