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80741629440 = 29355129793
BaseRepresentation
bin100101100110010010…
…0110111111000000000
321201102000121202100000
41023030210313320000
52310324324120230
6101031525200000
75555565345363
oct1131444677000
9251360552300
1080741629440
11312735aa27a
1213794260000
1377c998b5c4
143c9d46c0da
152178665b60
hex12cc937e00

80741629440 has 240 divisors, whose sum is σ = 289989908208. Its totient is φ = 21530935296.

The previous prime is 80741629429. The next prime is 80741629469. The reversal of 80741629440 is 4492614708.

80741629440 is a `hidden beast` number, since 80 + 74 + 1 + 62 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557184 + ... + 686976.

Almost surely, 280741629440 is an apocalyptic number.

80741629440 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 80741629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144994954104).

80741629440 is an abundant number, since it is smaller than the sum of its proper divisors (209248278768).

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

80741629440 is an equidigital number, since it uses as much as digits as its factorization.

80741629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129831 (or 129803 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 80741629440 in words is "eighty billion, seven hundred forty-one million, six hundred twenty-nine thousand, four hundred forty".