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80368189440 = 2143571131137
BaseRepresentation
bin100101011011001010…
…0010100000000000000
321200102222221000221220
41022312110110000000
52304043224030230
6100530505115040
75543412224130
oct1126624240000
9250388830856
1080368189440
11310a1825280
12136ab188a80
13776a4b92a6
143c65a1cac0
15215599bd10
hex12b6514000

80368189440 has 960 divisors, whose sum is σ = 333386661888. Its totient is φ = 16043212800.

The previous prime is 80368189417. The next prime is 80368189453. The reversal of 80368189440 is 4498186308.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586629052 + ... + 586629188.

Almost surely, 280368189440 is an apocalyptic number.

80368189440 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 80368189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166693330944).

80368189440 is an abundant number, since it is smaller than the sum of its proper divisors (253018472448).

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

80368189440 is a wasteful number, since it uses less digits than its factorization.

80368189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 80368189440 in words is "eighty billion, three hundred sixty-eight million, one hundred eighty-nine thousand, four hundred forty".