Base | Representation |
---|---|
bin | 1001010011011100… |
… | …01010110100000000 |
3 | 110220002212001011000 |
4 | 10221232022310000 |
5 | 40212200423224 |
6 | 2143350452000 |
7 | 234531153546 |
oct | 45156126400 |
9 | 13802761130 |
10 | 4994936064 |
11 | 2133569438 |
12 | b74964000 |
13 | 617aa7991 |
14 | 355543d96 |
15 | 1e37a60c9 |
hex | 129b8ad00 |
4994936064 has 144 divisors (see below), whose sum is σ = 15170895040. Its totient is φ = 1619896320.
The previous prime is 4994936057. The next prime is 4994936077. The reversal of 4994936064 is 4606394994.
4994936064 is a `hidden beast` number, since 4 + 99 + 493 + 6 + 0 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
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 4994936064.
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 15 ways as a sum of consecutive naturals, for example, 245979 + ... + 265509.
Almost surely, 24994936064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4994936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585447520).
4994936064 is an abundant number, since it is smaller than the sum of its proper divisors (10175958976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4994936064 is a wasteful number, since it uses less digits than its factorization.
4994936064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19593 (or 19573 counting only the distinct ones).
The product of its (nonzero) digits is 5038848, while the sum is 54.
The square root of 4994936064 is about 70674.8616128818. The cubic root of 4994936064 is about 1709.3984710958.
The spelling of 4994936064 in words is "four billion, nine hundred ninety-four million, nine hundred thirty-six thousand, sixty-four".
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