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41497194706560 = 2734537411573361
BaseRepresentation
bin10010110111101110100011…
…00011001011011010000000
312102221002111211220110220000
421123313101203023122000
520414342223321102220
6224131314214520000
711512034112056145
oct1133672143133200
9172832454813800
1041497194706560
1112249952644a2a
1247a2526666000
131a2022674c608
14a366913443cc
154be685b83390
hex25bdd18cb680

41497194706560 has 1280 divisors, whose sum is σ = 156951143506080. Its totient is φ = 10434222489600.

The previous prime is 41497194706537. The next prime is 41497194706571. The reversal of 41497194706560 is 6560749179414.

41497194706560 is a `hidden beast` number, since 4 + 1 + 4 + 97 + 19 + 470 + 6 + 5 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3429578055744 + 38067616650816 = 1851912^2 + 6169896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12346679280 + ... + 12346682640.

Almost surely, 241497194706560 is an apocalyptic number.

41497194706560 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 41497194706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78475571753040).

41497194706560 is an abundant number, since it is smaller than the sum of its proper divisors (115453948799520).

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

41497194706560 is a wasteful number, since it uses less digits than its factorization.

41497194706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 41497194706560 in words is "forty-one trillion, four hundred ninety-seven billion, one hundred ninety-four million, seven hundred six thousand, five hundred sixty".