Base | Representation |
---|---|
bin | 111101110001110… |
… | …1110010001000100 |
3 | 12100110122101102200 |
4 | 1323203232101010 |
5 | 13221134241431 |
6 | 541410434500 |
7 | 102240613221 |
oct | 17343562104 |
9 | 5313571380 |
10 | 2072962116 |
11 | 974151135 |
12 | 49a292a30 |
13 | 270612204 |
14 | 15944c948 |
15 | c1ec5ee6 |
hex | 7b8ee444 |
2072962116 has 72 divisors (see below), whose sum is σ = 5556993624. Its totient is φ = 649313280.
The previous prime is 2072962081. The next prime is 2072962121. The reversal of 2072962116 is 6112692702.
2072962116 is a `hidden beast` number, since 2 + 0 + 7 + 29 + 621 + 1 + 6 = 666.
2072962116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1055990016 + 1016972100 = 32496^2 + 31890^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446286 + ... + 450906.
It is an arithmetic number, because the mean of its divisors is an integer number (77180467).
Almost surely, 22072962116 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 2072962116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778496812).
2072962116 is an abundant number, since it is smaller than the sum of its proper divisors (3484031508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2072962116 is a wasteful number, since it uses less digits than its factorization.
2072962116 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5381 (or 5376 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 2072962116 is about 45529.7937179601. The cubic root of 2072962116 is about 1275.0595109478.
The spelling of 2072962116 in words is "two billion, seventy-two million, nine hundred sixty-two thousand, one hundred sixteen".
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