Base | Representation |
---|---|
bin | 10010111011101011… |
… | …10010000000011110 |
3 | 222020100221122202100 |
4 | 21131311302000132 |
5 | 131304031023032 |
6 | 4400332305530 |
7 | 506611146633 |
oct | 113565620036 |
9 | 28210848670 |
10 | 10164314142 |
11 | 4346543724 |
12 | 1b780122a6 |
13 | c5ca5b788 |
14 | 6c5cd618a |
15 | 3e751897c |
hex | 25dd7201e |
10164314142 has 12 divisors (see below), whose sum is σ = 22022680680. Its totient is φ = 3388104708.
The previous prime is 10164314137. The next prime is 10164314143. The reversal of 10164314142 is 24141346101.
10164314142 is a `hidden beast` number, since 1 + 0 + 1 + 643 + 1 + 4 + 14 + 2 = 666.
10164314142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×101643141422 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10164314143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282342042 + ... + 282342077.
It is an arithmetic number, because the mean of its divisors is an integer number (1835223390).
Almost surely, 210164314142 is an apocalyptic number.
10164314142 is an abundant number, since it is smaller than the sum of its proper divisors (11858366538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10164314142 is a wasteful number, since it uses less digits than its factorization.
10164314142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 564684127 (or 564684124 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The spelling of 10164314142 in words is "ten billion, one hundred sixty-four million, three hundred fourteen thousand, one hundred forty-two".
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