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441666228096 = 273310310911383
BaseRepresentation
bin1100110110101010101…
…10111100111110000000
31120020000110221001202000
412123111112330332000
524214013023244341
6534522040024000
743623620665452
oct6332526747600
91506013831660
10441666228096
11160345087255
1271721162000
1332858974392
141753bb842d2
15b74e8128b6
hex66d55bcf80

441666228096 has 256 divisors, whose sum is σ = 1328376192000. Its totient is φ = 144442497024.

The previous prime is 441666228079. The next prime is 441666228197. The reversal of 441666228096 is 690822666144.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38794821 + ... + 38806203.

It is an arithmetic number, because the mean of its divisors is an integer number (5188969500).

Almost surely, 2441666228096 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 441666228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664188096000).

441666228096 is an abundant number, since it is smaller than the sum of its proper divisors (886709963904).

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

441666228096 is a wasteful number, since it uses less digits than its factorization.

441666228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 441666228096 in words is "four hundred forty-one billion, six hundred sixty-six million, two hundred twenty-eight thousand, ninety-six".