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41928182491104 = 25327213419757467
BaseRepresentation
bin10011000100010001010100…
…11011000110011111100000
312111110021222010110101220200
421202020222123012133200
520443422404204203404
6225101312514505200
711555132306562300
oct1142105233063740
9174407863411820
1041928182491104
11123a5707a50518
124851b67595200
131a51a6cca3b30
14a4d498bdd600
154ca9acc72839
hex26222a6c67e0

41928182491104 has 864 divisors, whose sum is σ = 154592436581856. Its totient is φ = 10676870184960.

The previous prime is 41928182491087. The next prime is 41928182491141. The reversal of 41928182491104 is 40119428182914.

41928182491104 is a `hidden beast` number, since 4 + 1 + 9 + 281 + 8 + 249 + 110 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 729575779 + ... + 729633245.

It is an arithmetic number, because the mean of its divisors is an integer number (178926431229).

Almost surely, 241928182491104 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 41928182491104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77296218290928).

41928182491104 is an abundant number, since it is smaller than the sum of its proper divisors (112664254090752).

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

41928182491104 is a wasteful number, since it uses less digits than its factorization.

41928182491104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57648 (or 57630 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 41928182491104 in words is "forty-one trillion, nine hundred twenty-eight billion, one hundred eighty-two million, four hundred ninety-one thousand, one hundred four".