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80330040000 = 2632547127251
BaseRepresentation
bin100101011010000001…
…0110010001011000000
321200100100010211202200
41022310002302023000
52304003442240000
6100523023313200
75542440034230
oct1126402621300
9250310124680
1080330040000
1131082239011
121369a44b800
13776261cb62
143c6092bcc0
152152463500
hex12b40b22c0

80330040000 has 840 divisors, whose sum is σ = 332735090688. Its totient is φ = 18144000000.

The previous prime is 80330039929. The next prime is 80330040013. The reversal of 80330040000 is 4003308.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-6 number, since 6×803300400006 (a number of 67 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 320039875 + ... + 320040125.

Almost surely, 280330040000 is an apocalyptic number.

80330040000 is a gapful number since it is divisible by the number (80) 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 80330040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166367545344).

80330040000 is an abundant number, since it is smaller than the sum of its proper divisors (252405050688).

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

80330040000 is a wasteful number, since it uses less digits than its factorization.

80330040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 80330040000 its reverse (4003308), we get a palindrome (80334043308).

The spelling of 80330040000 in words is "eighty billion, three hundred thirty million, forty thousand".