Search a number
-
+
80943706800 = 2432521123181491
BaseRepresentation
bin100101101100010011…
…1101111001010110000
321201221002212100100200
41023120213233022300
52311233042104200
6101103544315200
75563601104245
oct1133047571260
9251832770320
1080943706800
1131367680a60
121382ba72b00
13782c7c22c8
143cbc2315cc
15218b280800
hex12d89ef2b0

80943706800 has 720 divisors, whose sum is σ = 322177879296. Its totient is φ = 18627840000.

The previous prime is 80943706771. The next prime is 80943706807. The reversal of 80943706800 is 860734908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80943706807) 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 143 ways as a sum of consecutive naturals, for example, 164854555 + ... + 164855045.

Almost surely, 280943706800 is an apocalyptic number.

80943706800 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 80943706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161088939648).

80943706800 is an abundant number, since it is smaller than the sum of its proper divisors (241234172496).

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

80943706800 is a wasteful number, since it uses less digits than its factorization.

80943706800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80943706800 in words is "eighty billion, nine hundred forty-three million, seven hundred six thousand, eight hundred".