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80020794240 = 27355717247
BaseRepresentation
bin100101010000110011…
…1000110101110000000
321122112210020112100000
41022201213012232000
52302340310403430
6100432215200000
75531663346132
oct1124147065600
9248483215300
1080020794240
1130a3371a102
1213612976000
1377135358ba
143c3182d052
152135229e60
hex12a19c6b80

80020794240 has 384 divisors, whose sum is σ = 290632043520. Its totient is φ = 21035427840.

The previous prime is 80020794181. The next prime is 80020794319. The reversal of 80020794240 is 4249702008.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 80020794195 and 80020794204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11038297 + ... + 11045543.

It is an arithmetic number, because the mean of its divisors is an integer number (756854280).

Almost surely, 280020794240 is an apocalyptic number.

80020794240 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 80020794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145316021760).

80020794240 is an abundant number, since it is smaller than the sum of its proper divisors (210611249280).

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

80020794240 is an equidigital number, since it uses as much as digits as its factorization.

80020794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 80020794240 in words is "eighty billion, twenty million, seven hundred ninety-four thousand, two hundred forty".