Search a number
-
+
5930010448180 = 2257133104918379
BaseRepresentation
bin101011001001011000000…
…1010101001000100110100
3202222220101121211221020021
41112102300022221010310
51234124130133320210
620340113104014524
71151300121065530
oct126226012510464
922886347757207
105930010448180
1119869a3337245
127b9338601444
13340275133000
1416702a736bc0
15a43be73cbda
hex564b02a9134

5930010448180 has 192 divisors, whose sum is σ = 15433024320000. Its totient is φ = 1874859457536.

The previous prime is 5930010448177. The next prime is 5930010448181. The reversal of 5930010448180 is 818440100395.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5930010448181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322642231 + ... + 322660609.

It is an arithmetic number, because the mean of its divisors is an integer number (80380335000).

Almost surely, 25930010448180 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 5930010448180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716512160000).

5930010448180 is an abundant number, since it is smaller than the sum of its proper divisors (9503013871820).

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

5930010448180 is a wasteful number, since it uses less digits than its factorization.

5930010448180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 5930010448180 in words is "five trillion, nine hundred thirty billion, ten million, four hundred forty-eight thousand, one hundred eighty".