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41068505856 = 283773227461
BaseRepresentation
bin100110001111110111…
…111010101100000000
310221000010122020222110
4212033313322230000
51133102014141411
630511104335320
72652500353140
oct461767725400
9127003566873
1041068505856
1116465112334
127b61914540
133b46557151
141db846c920
1511056eb2a6
hex98fdfab00

41068505856 has 288 divisors, whose sum is σ = 127461616128. Its totient is φ = 11497144320.

The previous prime is 41068505851. The next prime is 41068505867. The reversal of 41068505856 is 65850586014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41068505851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89085466 + ... + 89085926.

It is an arithmetic number, because the mean of its divisors is an integer number (442575056).

Almost surely, 241068505856 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 41068505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63730808064).

41068505856 is an abundant number, since it is smaller than the sum of its proper divisors (86393110272).

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

41068505856 is a wasteful number, since it uses less digits than its factorization.

41068505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 41068505856 in words is "forty-one billion, sixty-eight million, five hundred five thousand, eight hundred fifty-six".