Search a number
-
+
41927948160 = 273578833533
BaseRepresentation
bin100111000011000110…
…011011011110000000
311000020000211110011220
4213003012123132000
51141332023320120
631132245235040
73013004451630
oct470306333600
9130200743156
1041927948160
111686626302a
128161702a80
133c526201a7
14205a66c6c0
151155db5b40
hex9c319b780

41927948160 has 256 divisors, whose sum is σ = 152953781760. Its totient is φ = 9569968128.

The previous prime is 41927948143. The next prime is 41927948173. The reversal of 41927948160 is 6184972914.

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, 11865754 + ... + 11869286.

It is an arithmetic number, because the mean of its divisors is an integer number (597475710).

Almost surely, 241927948160 is an apocalyptic number.

41927948160 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 41927948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76476890880).

41927948160 is an abundant number, since it is smaller than the sum of its proper divisors (111025833600).

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

41927948160 is a wasteful number, since it uses less digits than its factorization.

41927948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 41927948160 in words is "forty-one billion, nine hundred twenty-seven million, nine hundred forty-eight thousand, one hundred sixty".