Base | Representation |
---|---|
bin | 1001101000011000110… |
… | …1000111010101110011 |
3 | 120211002012211021020200 |
4 | 2122012031013111303 |
5 | 10202330321422011 |
6 | 204002245210243 |
7 | 14645155463010 |
oct | 2320615072563 |
9 | 524065737220 |
10 | 165460342131 |
11 | 64198060007 |
12 | 28098400983 |
13 | 127ab5a66b6 |
14 | 8018ba6707 |
15 | 4486026856 |
hex | 2686347573 |
165460342131 has 48 divisors (see below), whose sum is σ = 285472824000. Its totient is φ = 90347249664.
The previous prime is 165460342127. The next prime is 165460342147. The reversal of 165460342131 is 131243064561.
165460342131 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 603 + 42 + 1 + 3 + 1 = 666.
165460342131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 165460342131 - 22 = 165460342127 is a prime.
It is a super-2 number, since 2×1654603421312 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (165460342111) by changing a digit.
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, 289606 + ... + 644043.
It is an arithmetic number, because the mean of its divisors is an integer number (5947350500).
Almost surely, 2165460342131 is an apocalyptic number.
165460342131 is a deficient number, since it is larger than the sum of its proper divisors (120012481869).
165460342131 is a wasteful number, since it uses less digits than its factorization.
165460342131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 933788 (or 933785 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 165460342131 in words is "one hundred sixty-five billion, four hundred sixty million, three hundred forty-two thousand, one hundred thirty-one".
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