Base | Representation |
---|---|
bin | 111111011001001101… |
… | …0111111011000110010 |
3 | 111000101122112202220020 |
4 | 1332302122333120302 |
5 | 4212302133443002 |
6 | 142312441024310 |
7 | 12556416600213 |
oct | 1766232773062 |
9 | 430348482806 |
10 | 136137406002 |
11 | 528100200a4 |
12 | 22474185096 |
13 | cab7580010 |
14 | 683664540a |
15 | 381ba8e2bc |
hex | 1fb26bf632 |
136137406002 has 64 divisors (see below), whose sum is σ = 310927849344. Its totient is φ = 39365913600.
The previous prime is 136137406001. The next prime is 136137406079. The reversal of 136137406002 is 200604731631.
136137406002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (136137406001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821877 + ... + 973527.
It is an arithmetic number, because the mean of its divisors is an integer number (4858247646).
Almost surely, 2136137406002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 136137406002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155463924672).
136137406002 is an abundant number, since it is smaller than the sum of its proper divisors (174790443342).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136137406002 is a wasteful number, since it uses less digits than its factorization.
136137406002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152363.
The product of its (nonzero) digits is 18144, while the sum is 33.
The spelling of 136137406002 in words is "one hundred thirty-six billion, one hundred thirty-seven million, four hundred six thousand, two".
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