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80541820800 = 27335271943163
BaseRepresentation
bin100101100000010101…
…0101010011110000000
321200220002122102102000
41023000222222132000
52304422201231200
6101000030424000
75550621116040
oct1130052523600
9250802572360
1080541820800
1131180838071
1213739362000
13779747043c
143c80ad9720
152165d48300
hex12c0aaa780

80541820800 has 1536 divisors, whose sum is σ = 365071872000. Its totient is φ = 16930529280.

The previous prime is 80541820759. The next prime is 80541820847. The reversal of 80541820800 is 802814508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 494121519 + ... + 494121681.

It is an arithmetic number, because the mean of its divisors is an integer number (237677000).

Almost surely, 280541820800 is an apocalyptic number.

80541820800 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 80541820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182535936000).

80541820800 is an abundant number, since it is smaller than the sum of its proper divisors (284530051200).

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

80541820800 is a wasteful number, since it uses less digits than its factorization.

80541820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 80541820800 in words is "eighty billion, five hundred forty-one million, eight hundred twenty thousand, eight hundred".