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6505555056 = 24371113711907
BaseRepresentation
bin1100000111100001…
…01110010001110000
3121210101100102211120
412003300232101300
5101310410230211
62553312342240
7320133206550
oct60360562160
917711312746
106505555056
112839241890
121316844980
137c8a47480
1445a00d160
152811ebd06
hex183c2e470

6505555056 has 320 divisors, whose sum is σ = 22894534656. Its totient is φ = 1536998400.

The previous prime is 6505555051. The next prime is 6505555099.

6505555056 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6505554999 and 6505555017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6505555051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3410455 + ... + 3412361.

Almost surely, 26505555056 is an apocalyptic number.

6505555056 is a gapful number since it is divisible by the number (66) 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 6505555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447267328).

6505555056 is an abundant number, since it is smaller than the sum of its proper divisors (16388979600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6505555056 is a wasteful number, since it uses less digits than its factorization.

6505555056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The square root of 6505555056 is about 80657.0211202968. The cubic root of 6505555056 is about 1866.7870759630.

The spelling of 6505555056 in words is "six billion, five hundred five million, five hundred fifty-five thousand, fifty-six".