Search a number
-
+
41958089060112 = 24321923941708569
BaseRepresentation
bin10011000101001001000001…
…11111100110111100010000
312111120011011100221112001200
421202210200333212330100
520444420131244410422
6225123140252231200
711560241363325501
oct1142444077467420
9174504140845050
1041958089060112
111240736447a455
12485791316b500
131a54827bb5404
14a50ad4a86ba8
154cb65d5932ac
hex262920fe6f10

41958089060112 has 240 divisors, whose sum is σ = 129115965513600. Its totient is φ = 12660352911360.

The previous prime is 41958089060081. The next prime is 41958089060119. The reversal of 41958089060112 is 21106098085914.

41958089060112 is a `hidden beast` number, since 4 + 19 + 5 + 8 + 0 + 8 + 9 + 0 + 601 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (41958089060119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58860964 + ... + 59569532.

It is an arithmetic number, because the mean of its divisors is an integer number (537983189640).

Almost surely, 241958089060112 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 41958089060112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64557982756800).

41958089060112 is an abundant number, since it is smaller than the sum of its proper divisors (87157876453488).

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

41958089060112 is a wasteful number, since it uses less digits than its factorization.

41958089060112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709566 (or 709557 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 41958089060112 in words is "forty-one trillion, nine hundred fifty-eight billion, eighty-nine million, sixty thousand, one hundred twelve".