Base | Representation |
---|---|
bin | 1000000010011011… |
… | …10011101011100000 |
3 | 102010202010012121200 |
4 | 10001031303223200 |
5 | 32314213122224 |
6 | 1552113121200 |
7 | 211636663224 |
oct | 40115635340 |
9 | 12122105550 |
10 | 4315364064 |
11 | 1914a01990 |
12 | a05259200 |
13 | 53a06b77b |
14 | 2cd1a6784 |
15 | 1a3cbb5c9 |
hex | 101373ae0 |
4315364064 has 144 divisors (see below), whose sum is σ = 13511337840. Its totient is φ = 1295585280.
The previous prime is 4315364051. The next prime is 4315364069. The reversal of 4315364064 is 4604635134.
4315364064 is a `hidden beast` number, since 4 + 3 + 1 + 5 + 3 + 640 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4315364069) 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, 339064 + ... + 351560.
It is an arithmetic number, because the mean of its divisors is an integer number (93828735).
Almost surely, 24315364064 is an apocalyptic number.
4315364064 is a gapful number since it is divisible by the number (44) 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 4315364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755668920).
4315364064 is an abundant number, since it is smaller than the sum of its proper divisors (9195973776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4315364064 is a wasteful number, since it uses less digits than its factorization.
4315364064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12633 (or 12622 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The square root of 4315364064 is about 65691.4306740232. The cubic root of 4315364064 is about 1628.0677750300.
Adding to 4315364064 its reverse (4604635134), we get a palindrome (8919999198).
It can be divided in two parts, 431536 and 4064, that added together give a square (435600 = 6602).
The spelling of 4315364064 in words is "four billion, three hundred fifteen million, three hundred sixty-four thousand, sixty-four".
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