Search a number
-
+
6083045000000 = 265711032
BaseRepresentation
bin101100010000101000110…
…1111001000001101000000
3210112112101212100122121222
41120201101233020031000
51244131034010000000
620534302353334212
71165325345236613
oct130412157101500
923475355318558
106083045000000
111a35894355061
12822b27567368
133518232a3757
141705c712617a
15a8379938a85
hex58851bc8340

6083045000000 has 168 divisors, whose sum is σ = 15102456552456. Its totient is φ = 2431012000000.

The previous prime is 6083044999963. The next prime is 6083045000023. The reversal of 6083045000000 is 5403806.

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 can be written as a sum of positive squares in 4 ways, for example, as 6017562237184 + 65482762816 = 2453072^2 + 255896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514999449 + ... + 5515000551.

It is an arithmetic number, because the mean of its divisors is an integer number (89895574717).

Almost surely, 26083045000000 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 6083045000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551228276228).

6083045000000 is an abundant number, since it is smaller than the sum of its proper divisors (9019411552456).

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

6083045000000 is an frugal number, since it uses more digits than its factorization.

6083045000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 6083045000000 in words is "six trillion, eighty-three billion, forty-five million", and thus it is an aban number and an uban number.