Base | Representation |
---|---|
bin | 111110010100011… |
… | …100010010110100 |
3 | 2200212101020201000 |
4 | 332110130102310 |
5 | 4120124434124 |
6 | 251425403300 |
7 | 34623665355 |
oct | 7624342264 |
9 | 2625336630 |
10 | 1045546164 |
11 | 497202343 |
12 | 252199530 |
13 | 1387c6290 |
14 | 9cc05d2c |
15 | 61bcb6c9 |
hex | 3e51c4b4 |
1045546164 has 96 divisors (see below), whose sum is σ = 3019968000. Its totient is φ = 310601088.
The previous prime is 1045546129. The next prime is 1045546301. The reversal of 1045546164 is 4616455401.
1045546164 is a `hidden beast` number, since 1 + 0 + 455 + 46 + 164 = 666.
1045546164 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-4 number, since 4×10455461644 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27877 + ... + 53555.
It is an arithmetic number, because the mean of its divisors is an integer number (31458000).
Almost surely, 21045546164 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1045546164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509984000).
1045546164 is an abundant number, since it is smaller than the sum of its proper divisors (1974421836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1045546164 is a wasteful number, since it uses less digits than its factorization.
1045546164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25734 (or 25726 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 1045546164 is about 32334.9062778911. The cubic root of 1045546164 is about 1014.9572208102.
The spelling of 1045546164 in words is "one billion, forty-five million, five hundred forty-six thousand, one hundred sixty-four".
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