Base | Representation |
---|---|
bin | 1001010101001011… |
… | …00010001001000000 |
3 | 110221010011101220000 |
4 | 10222211202021000 |
5 | 40224404341121 |
6 | 2145025520000 |
7 | 235065422100 |
oct | 45245421100 |
9 | 13833141800 |
10 | 5009449536 |
11 | 2140781643 |
12 | b797a3000 |
13 | 61aab9a30 |
14 | 357441200 |
15 | 1e4bc1526 |
hex | 12a962240 |
5009449536 has 840 divisors, whose sum is σ = 19571534136. Its totient is φ = 1254113280.
The previous prime is 5009449507. The next prime is 5009449547. The reversal of 5009449536 is 6359449005.
5009449536 is a `hidden beast` number, since 500 + 94 + 4 + 9 + 53 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 101606400 + 4907843136 = 10080^2 + 70056^2 .
It is a junction number, because it is equal to n+sod(n) for n = 5009449491 and 5009449500.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122181676 + ... + 122181716.
Almost surely, 25009449536 is an apocalyptic number.
5009449536 is a gapful number since it is divisible by the number (56) 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 5009449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785767068).
5009449536 is an abundant number, since it is smaller than the sum of its proper divisors (14562084600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5009449536 is a wasteful number, since it uses less digits than its factorization.
5009449536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 103 counting only the distinct ones).
The product of its (nonzero) digits is 583200, while the sum is 45.
The square root of 5009449536 is about 70777.4648881973. The cubic root of 5009449536 is about 1711.0525007167.
The spelling of 5009449536 in words is "five billion, nine million, four hundred forty-nine thousand, five hundred thirty-six".
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