Base | Representation |
---|---|
bin | 111111101011100… |
… | …0101100011011010 |
3 | 12111220200120121100 |
4 | 1333113011203122 |
5 | 13334002232430 |
6 | 552010052230 |
7 | 103644101406 |
oct | 17727054332 |
9 | 5456616540 |
10 | 2136758490 |
11 | 9a7165309 |
12 | 4b771a076 |
13 | 2808bb149 |
14 | 163ad8106 |
15 | c78c8960 |
hex | 7f5c58da |
2136758490 has 96 divisors (see below), whose sum is σ = 5680336896. Its totient is φ = 557141760.
The previous prime is 2136758431. The next prime is 2136758531. The reversal of 2136758490 is 948576312.
2136758490 is a `hidden beast` number, since 2 + 1 + 3 + 67 + 584 + 9 + 0 = 666.
2136758490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) 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 (45).
2136758490 is strictly pandigital in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810214 + ... + 812846.
It is an arithmetic number, because the mean of its divisors is an integer number (59170176).
It is a 2-persistent number, because it is pandigital, and so is 2⋅2136758490 = 4273516980, but 3⋅2136758490 = 6410275470 is not.
Almost surely, 22136758490 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2136758490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840168448).
2136758490 is an abundant number, since it is smaller than the sum of its proper divisors (3543578406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2136758490 is a wasteful number, since it uses less digits than its factorization.
2136758490 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2844 (or 2841 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2136758490 is about 46225.0850729342. The cubic root of 2136758490 is about 1288.0077595079.
The spelling of 2136758490 in words is "two billion, one hundred thirty-six million, seven hundred fifty-eight thousand, four hundred ninety".
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