Base | Representation |
---|---|
bin | 11101101101110010011111… |
… | …11111010001100000000000 |
3 | 22120100220210121202100020000 |
4 | 32312321033333101200000 |
5 | 32031103001423200120 |
6 | 350551022234120000 |
7 | 16523006245105110 |
oct | 1666711777214000 |
9 | 276326717670200 |
10 | 65344974428160 |
11 | 19903714585459 |
12 | 73b4363880000 |
13 | 2a6000a29ac0b |
14 | 121c9dc315040 |
15 | 784b8d01e990 |
hex | 3b6e4ffd1800 |
65344974428160 has 1920 divisors, whose sum is σ = 273760591104000. Its totient is φ = 14600458469376.
The previous prime is 65344974428159. The next prime is 65344974428183. The reversal of 65344974428160 is 6182447944356.
65344974428160 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 49 + 7 + 4 + 428 + 160 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49996154227 + ... + 49996155533.
It is an arithmetic number, because the mean of its divisors is an integer number (142583641200).
It is a 1-persistent number, because it is pandigital, but 2⋅65344974428160 = 130689948856320 is not.
Almost surely, 265344974428160 is an apocalyptic number.
65344974428160 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 65344974428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136880295552000).
65344974428160 is an abundant number, since it is smaller than the sum of its proper divisors (208415616675840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65344974428160 is a wasteful number, since it uses less digits than its factorization.
65344974428160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1541 (or 1512 counting only the distinct ones).
The product of its (nonzero) digits is 139345920, while the sum is 63.
The spelling of 65344974428160 in words is "sixty-five trillion, three hundred forty-four billion, nine hundred seventy-four million, four hundred twenty-eight thousand, one hundred sixty".
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