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6135545000 = 235413253137
BaseRepresentation
bin1011011011011010…
…01111110010101000
3120211121002222110102
411231231033302220
5100031144420000
62452454004532
7305021162204
oct55555176250
916747088412
106135545000
11266939a852
121232946748
1376a1a6400
14422c13b04
1525d9ae3d5
hex16db4fca8

6135545000 has 240 divisors, whose sum is σ = 15975932940. Its totient is φ = 2206464000.

The previous prime is 6135544973. The next prime is 6135545023. The reversal of 6135545000 is 5455316.

It can be written as a sum of positive squares in 30 ways, for example, as 5701156036 + 434388964 = 75506^2 + 20842^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44784932 + ... + 44785068.

Almost surely, 26135545000 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 6135545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987966470).

6135545000 is an abundant number, since it is smaller than the sum of its proper divisors (9840387940).

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

6135545000 is a wasteful number, since it uses less digits than its factorization.

6135545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 6135545000 is about 78329.7197748083. The cubic root of 6135545000 is about 1830.7022497173.

The spelling of 6135545000 in words is "six billion, one hundred thirty-five million, five hundred forty-five thousand".