Search a number
-
+
5845362240060 = 2233573313492917
BaseRepresentation
bin101010100001111101010…
…1111010110101000111100
3202200210220100022102102000
41111003322233112220330
51231232300213140220
620233153343102300
71142212345146000
oct125037257265074
922623810272360
105845362240060
111954005661652
127a4a53ba1990
133352a50022b5
14162cba512700
15a20b8157390
hex550fabd6a3c

5845362240060 has 768 divisors, whose sum is σ = 21962035200000. Its totient is φ = 1288836541440.

The previous prime is 5845362240041. The next prime is 5845362240077. The reversal of 5845362240060 is 600422635485.

5845362240060 is a `hidden beast` number, since 5 + 8 + 45 + 362 + 240 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×58453622400602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5845362239988 and 5845362240015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2003893722 + ... + 2003896638.

It is an arithmetic number, because the mean of its divisors is an integer number (28596400000).

Almost surely, 25845362240060 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 5845362240060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981017600000).

5845362240060 is an abundant number, since it is smaller than the sum of its proper divisors (16116672959940).

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

5845362240060 is a wasteful number, since it uses less digits than its factorization.

5845362240060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5845362240060 in words is "five trillion, eight hundred forty-five billion, three hundred sixty-two million, two hundred forty thousand, sixty".