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446000000000 = 21059223
BaseRepresentation
bin1100111110101111010…
…10111110110000000000
31120122012111200111011112
412133113222332300000
524301402000000000
6540520051502452
744136203310122
oct6372752766000
91518174614145
10446000000000
11162169411225
12725305b7a28
1333099789659
141782d57d212
15b905018235
hex67d7abec00

446000000000 has 220 divisors, whose sum is σ = 1119453010368. Its totient is φ = 177600000000.

The previous prime is 445999999919. The next prime is 446000000077. The reversal of 446000000000 is 644.

It is a happy number.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1999999889 + ... + 2000000111.

Almost surely, 2446000000000 is an apocalyptic number.

446000000000 is a gapful number since it is divisible by the number (40) 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 446000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559726505184).

446000000000 is an abundant number, since it is smaller than the sum of its proper divisors (673453010368).

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

446000000000 is an frugal number, since it uses more digits than its factorization.

446000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 446000000000 its reverse (644), we get a palindrome (446000000644).

The spelling of 446000000000 in words is "four hundred forty-six billion", and thus it is an aban number.