Base | Representation |
---|---|
bin | 1101100100000101… |
… | …1101100100100000 |
3 | 100101202020221201100 |
4 | 3121001131210200 |
5 | 24424101223021 |
6 | 1401144034400 |
7 | 156141215310 |
oct | 33101354440 |
9 | 10352227640 |
10 | 3641039136 |
11 | 15a92a9659 |
12 | 857462a00 |
13 | 46044b937 |
14 | 2677d3440 |
15 | 1649bb626 |
hex | d905d920 |
3641039136 has 144 divisors (see below), whose sum is σ = 11920656384. Its totient is φ = 1032625152.
The previous prime is 3641039123. The next prime is 3641039167. The reversal of 3641039136 is 6319301463.
3641039136 is a `hidden beast` number, since 3 + 641 + 0 + 3 + 9 + 1 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 3641039136.
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 23 ways as a sum of consecutive naturals, for example, 269601 + ... + 282783.
It is an arithmetic number, because the mean of its divisors is an integer number (82782336).
Almost surely, 23641039136 is an apocalyptic number.
3641039136 is a gapful number since it is divisible by the number (36) 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 3641039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960328192).
3641039136 is an abundant number, since it is smaller than the sum of its proper divisors (8279617248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3641039136 is a wasteful number, since it uses less digits than its factorization.
3641039136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13343 (or 13332 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The square root of 3641039136 is about 60341.0236572102. The cubic root of 3641039136 is about 1538.4207028771.
The spelling of 3641039136 in words is "three billion, six hundred forty-one million, thirty-nine thousand, one hundred thirty-six".
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