Search a number
-
+
41859166080 = 2735293124251
BaseRepresentation
bin100110111111000000…
…000010111110000000
311000001020101221220110
4212333000002332000
51141211421303310
631121351111320
73011211020034
oct467700027600
9130036357813
1041859166080
1116830454036
128142672540
133c412b9b34
1420514861c4
15114ed2ad20
hex9bf002f80

41859166080 has 256 divisors, whose sum is σ = 142485350400. Its totient is φ = 10429440000.

The previous prime is 41859166061. The next prime is 41859166121. The reversal of 41859166080 is 8066195814.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713955 + ... + 1738205.

It is an arithmetic number, because the mean of its divisors is an integer number (556583400).

Almost surely, 241859166080 is an apocalyptic number.

41859166080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41859166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71242675200).

41859166080 is an abundant number, since it is smaller than the sum of its proper divisors (100626184320).

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

41859166080 is a wasteful number, since it uses less digits than its factorization.

41859166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24333 (or 24321 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 41859166080 in words is "forty-one billion, eight hundred fifty-nine million, one hundred sixty-six thousand, eighty".