Base | Representation |
---|---|
bin | 1111010011000… |
… | …1001111010000 |
3 | 11110201220120200 |
4 | 3310301033100 |
5 | 112411233231 |
6 | 10211135200 |
7 | 1406251302 |
oct | 364611720 |
9 | 143656520 |
10 | 64164816 |
11 | 33245a81 |
12 | 195a4500 |
13 | 103a7861 |
14 | 8743972 |
15 | 5976be6 |
hex | 3d313d0 |
64164816 has 30 divisors (see below), whose sum is σ = 179572770. Its totient is φ = 21388224.
The previous prime is 64164809. The next prime is 64164833. The reversal of 64164816 is 61846146.
64164816 is a `hidden beast` number, since 6 + 4 + 1 + 648 + 1 + 6 = 666.
64164816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 63680400 + 484416 = 7980^2 + 696^2 .
It is a super-2 number, since 2×641648162 = 8234247224627712, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222651 + ... + 222938.
It is an arithmetic number, because the mean of its divisors is an integer number (5985759).
Almost surely, 264164816 is an apocalyptic number.
It is an amenable number.
64164816 is an abundant number, since it is smaller than the sum of its proper divisors (115407954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64164816 is a wasteful number, since it uses less digits than its factorization.
64164816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 445603 (or 445594 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 64164816 is about 8010.2943766131. The cubic root of 64164816 is about 400.3430723360.
It can be divided in two parts, 64164 and 816, that added together give a triangular number (64980 = T360).
The spelling of 64164816 in words is "sixty-four million, one hundred sixty-four thousand, eight hundred sixteen".
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