Base | Representation |
---|---|
bin | 111101111001110… |
… | …0000000000000000 |
3 | 12100202102111202222 |
4 | 1323303200000000 |
5 | 13223214113414 |
6 | 542035230212 |
7 | 102321020153 |
oct | 17363400000 |
9 | 5322374688 |
10 | 2077097984 |
11 | 976516505 |
12 | 49b748368 |
13 | 27142c880 |
14 | 159c07c9a |
15 | c254168e |
hex | 7bce0000 |
2077097984 has 144 divisors (see below), whose sum is σ = 4756322592. Its totient is φ = 899678208.
The previous prime is 2077097959. The next prime is 2077097987. The reversal of 2077097984 is 4897907702.
It is a Harshad number since it is a multiple of its sum of digits (53).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2077097987) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39190502 + ... + 39190554.
It is an arithmetic number, because the mean of its divisors is an integer number (33030018).
Almost surely, 22077097984 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 2077097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378161296).
2077097984 is an abundant number, since it is smaller than the sum of its proper divisors (2679224608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2077097984 is an frugal number, since it uses more digits than its factorization.
2077097984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 1778112, while the sum is 53.
The square root of 2077097984 is about 45575.1904439246. The cubic root of 2077097984 is about 1275.9069254674.
The spelling of 2077097984 in words is "two billion, seventy-seven million, ninety-seven thousand, nine hundred eighty-four".
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