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41550651648 = 283511411481
BaseRepresentation
bin100110101100100111…
…001010000100000000
310222020201212210200000
4212230213022010000
51140043431323043
631031010400000
73000443466042
oct465447120400
9128221783600
1041550651648
1116692294630
128077290000
133bc23ca70c
1420224d7a92
151132bd92d3
hex9ac9ca100

41550651648 has 432 divisors, whose sum is σ = 138931595712. Its totient is φ = 12275712000.

The previous prime is 41550651617. The next prime is 41550651673. The reversal of 41550651648 is 84615605514.

41550651648 is a `hidden beast` number, since 4 + 1 + 550 + 6 + 51 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28055068 + ... + 28056548.

It is an arithmetic number, because the mean of its divisors is an integer number (321600916).

Almost surely, 241550651648 is an apocalyptic number.

41550651648 is a gapful number since it is divisible by the number (48) 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 41550651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69465797856).

41550651648 is an abundant number, since it is smaller than the sum of its proper divisors (97380944064).

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

41550651648 is a wasteful number, since it uses less digits than its factorization.

41550651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 41550651648 in words is "forty-one billion, five hundred fifty million, six hundred fifty-one thousand, six hundred forty-eight".