Base | Representation |
---|---|
bin | 1110011110111110… |
… | …00101100000000000 |
3 | 202001220220201200000 |
4 | 13033133011200000 |
5 | 111411124000000 |
6 | 3323334400000 |
7 | 363460623636 |
oct | 71737054000 |
9 | 22056821600 |
10 | 7776000000 |
11 | 333039298a |
12 | 1610200000 |
13 | 96c004b42 |
14 | 53aa39356 |
15 | 307a00000 |
hex | 1cf7c5800 |
7776000000 has 504 divisors, whose sum is σ = 29112517980. Its totient is φ = 2073600000.
The previous prime is 7775999977. The next prime is 7776000007. The reversal of 7776000000 is 6777.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7776000007) by changing a digit.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1555199998 + ... + 1555200002.
Almost surely, 27776000000 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 7776000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556258990).
7776000000 is an abundant number, since it is smaller than the sum of its proper divisors (21336517980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7776000000 is an frugal number, since it uses more digits than its factorization.
7776000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 2058, while the sum is 27.
The square root of 7776000000 is about 88181.6307401944. The cubic root of 7776000000 is about 1981.1563493368.
Multiplying 7776000000 by its product of nonzero digits (2058), we get a cube (16003008000000 = 252003).
Adding to 7776000000 its reverse (6777), we get a palindrome (7776006777).
The spelling of 7776000000 in words is "seven billion, seven hundred seventy-six million", and thus it is an aban number.
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