Base | Representation |
---|---|
bin | 111100111111000… |
… | …0110111111000000 |
3 | 12021121112001201200 |
4 | 1321332012333000 |
5 | 13142324342142 |
6 | 535015501200 |
7 | 101465321100 |
oct | 17176067700 |
9 | 5247461650 |
10 | 2046324672 |
11 | 960108017 |
12 | 491387800 |
13 | 267c46902 |
14 | 155ab7200 |
15 | be9b364c |
hex | 79f86fc0 |
2046324672 has 126 divisors (see below), whose sum is σ = 6823133928. Its totient is φ = 584656128.
The previous prime is 2046324617. The next prime is 2046324673. The reversal of 2046324672 is 2764236402.
It is a tau number, because it is divible by the number of its divisors (126).
It is a super-3 number, since 3×20463246723 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2046324673) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8028 + ... + 64475.
Almost surely, 22046324672 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 2046324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411566964).
2046324672 is an abundant number, since it is smaller than the sum of its proper divisors (4776809256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046324672 is a wasteful number, since it uses less digits than its factorization.
2046324672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72535 (or 72515 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
The square root of 2046324672 is about 45236.3202747527. The cubic root of 2046324672 is about 1269.5744687983.
The spelling of 2046324672 in words is "two billion, forty-six million, three hundred twenty-four thousand, six hundred seventy-two".
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