Base | Representation |
---|---|
bin | 1010001000101011… |
… | …1010111001000000 |
3 | 21000121121112001022 |
4 | 2202022322321000 |
5 | 21033004143043 |
6 | 1125551325012 |
7 | 124265114600 |
oct | 24212727100 |
9 | 7017545038 |
10 | 2720771648 |
11 | 1176894011 |
12 | 63b220768 |
13 | 3448aa16a |
14 | 1bb4bcc00 |
15 | 10dcd9868 |
hex | a22bae40 |
2720771648 has 84 divisors (see below), whose sum is σ = 6497292060. Its totient is φ = 1125798912.
The previous prime is 2720771629. The next prime is 2720771657. The reversal of 2720771648 is 8461770272.
It can be written as a sum of positive squares in 2 ways, for example, as 2022121024 + 698650624 = 44968^2 + 26432^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2720771599 and 2720771608.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75986 + ... + 105902.
It is an arithmetic number, because the mean of its divisors is an integer number (77348715).
Almost surely, 22720771648 is an apocalyptic number.
2720771648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2720771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248646030).
2720771648 is an abundant number, since it is smaller than the sum of its proper divisors (3776520412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2720771648 is a wasteful number, since it uses less digits than its factorization.
2720771648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29972 (or 29955 counting only the distinct ones).
The product of its (nonzero) digits is 263424, while the sum is 44.
The square root of 2720771648 is about 52161.0165545113. The cubic root of 2720771648 is about 1396.0384003799.
The spelling of 2720771648 in words is "two billion, seven hundred twenty million, seven hundred seventy-one thousand, six hundred forty-eight".
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