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41068835712 = 27323111310177
BaseRepresentation
bin100110001111111001…
…001011001110000000
310221000011021000110100
4212033321023032000
51133102110220322
630511115402400
72652503225622
oct461771131600
9127004230410
1041068835712
1116465318143
127b61a53400
133b46641328
141db8516c12
151105763dac
hex98fe4b380

41068835712 has 192 divisors, whose sum is σ = 123083775360. Its totient is φ = 13129482240.

The previous prime is 41068835701. The next prime is 41068835827. The reversal of 41068835712 is 21753886014.

41068835712 is a `hidden beast` number, since 4 + 10 + 68 + 8 + 3 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 4030368 + ... + 4040544.

It is an arithmetic number, because the mean of its divisors is an integer number (641061330).

Almost surely, 241068835712 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 41068835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61541887680).

41068835712 is an abundant number, since it is smaller than the sum of its proper divisors (82014939648).

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

41068835712 is a wasteful number, since it uses less digits than its factorization.

41068835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 41068835712 in words is "forty-one billion, sixty-eight million, eight hundred thirty-five thousand, seven hundred twelve".