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80424423072 = 25397172937
BaseRepresentation
bin100101011100110101…
…0110100111010100000
321200120220202000000000
41022321222310322200
52304202123014242
6100540234300000
75544664213440
oct1127152647240
9250526660000
1080424423072
1131120543454
1213705b87600
137779047b26
143c6d29a120
15215a8a8a4c
hex12b9ab4ea0

80424423072 has 960 divisors, whose sum is σ = 305339569920. Its totient is φ = 20316635136.

The previous prime is 80424423071. The next prime is 80424423083. The reversal of 80424423072 is 27032442408.

80424423072 is a `hidden beast` number, since 80 + 42 + 442 + 30 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (80424423071) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2173633038 + ... + 2173633074.

It is an arithmetic number, because the mean of its divisors is an integer number (318062052).

Almost surely, 280424423072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80424423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152669784960).

80424423072 is an abundant number, since it is smaller than the sum of its proper divisors (224915146848).

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

80424423072 is an equidigital number, since it uses as much as digits as its factorization.

80424423072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 80424423072 in words is "eighty billion, four hundred twenty-four million, four hundred twenty-three thousand, seventy-two".