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41507841681 = 3261199379931
BaseRepresentation
bin100110101010000011…
…110110011010010001
310222010202022211102200
4212222003312122101
51140002001413211
631022441033413
72666413555455
oct465203663221
9128122284380
1041507841681
1116670104899
128064a85869
133bb658bb87
14201a952665
15112e07eb56
hex9aa0f6691

41507841681 has 24 divisors (see below), whose sum is σ = 61245038400. Its totient is φ = 27081410400.

The previous prime is 41507841679. The next prime is 41507841689. The reversal of 41507841681 is 18614870514.

41507841681 is a `hidden beast` number, since 4 + 1 + 507 + 84 + 1 + 68 + 1 = 666.

It is not a de Polignac number, because 41507841681 - 21 = 41507841679 is a prime.

It is a super-2 number, since 2×415078416812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41507841689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80715 + ... + 299216.

It is an arithmetic number, because the mean of its divisors is an integer number (2551876600).

Almost surely, 241507841681 is an apocalyptic number.

It is an amenable number.

41507841681 is a deficient number, since it is larger than the sum of its proper divisors (19737196719).

41507841681 is a wasteful number, since it uses less digits than its factorization.

41507841681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380197 (or 380194 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 41507841681 in words is "forty-one billion, five hundred seven million, eight hundred forty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 61 183 199 549 597 1791 12139 36417 109251 379931 1139793 3419379 23175791 69527373 75606269 208582119 226818807 680456421 4611982409 13835947227 41507841681