Base | Representation |
---|---|
bin | 101010000101101101… |
… | …000110001010000000 |
3 | 11022122120100101021000 |
4 | 222011231012022000 |
5 | 1220023333130014 |
6 | 32432235532000 |
7 | 3156631003053 |
oct | 520555061200 |
9 | 138576311230 |
10 | 45192864384 |
11 | 181912149a8 |
12 | 8912bba000 |
13 | 4352b6a595 |
14 | 228a114a9a |
15 | 1297838509 |
hex | a85b46280 |
45192864384 has 64 divisors (see below), whose sum is σ = 133381728000. Its totient is φ = 15064286976.
The previous prime is 45192864383. The next prime is 45192864439. The reversal of 45192864384 is 48346829154.
45192864384 is a `hidden beast` number, since 4 + 519 + 2 + 8 + 6 + 43 + 84 = 666.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 45192864384.
It is not an unprimeable number, because it can be changed into a prime (45192864383) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 6534864 + ... + 6541775.
It is an arithmetic number, because the mean of its divisors is an integer number (2084089500).
Almost surely, 245192864384 is an apocalyptic number.
It is an amenable number.
45192864384 is an abundant number, since it is smaller than the sum of its proper divisors (88188863616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45192864384 is a wasteful number, since it uses less digits than its factorization.
45192864384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13076662 (or 13076644 counting only the distinct ones).
The product of its digits is 6635520, while the sum is 54.
The spelling of 45192864384 in words is "forty-five billion, one hundred ninety-two million, eight hundred sixty-four thousand, three hundred eighty-four".
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