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80476426368 = 27341333533
BaseRepresentation
bin100101011110011000…
…1001101000010000000
321200201112121001010000
41022330301031002000
52304303431120433
6100545333040000
75546165223522
oct1127461150200
9250645531100
1080476426368
1131147932288
121371b486000
137786a55000
143c76155a12
15216022c113
hex12bcc4d080

80476426368 has 320 divisors, whose sum is σ = 259518936600. Its totient is φ = 24754968576.

The previous prime is 80476426363. The next prime is 80476426369. The reversal of 80476426368 is 86362467408.

It can be written as a sum of positive squares in 4 ways, for example, as 10615593024 + 69860833344 = 103032^2 + 264312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80476426363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22776730 + ... + 22780262.

Almost surely, 280476426368 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 80476426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129759468300).

80476426368 is an abundant number, since it is smaller than the sum of its proper divisors (179042510232).

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

80476426368 is an equidigital number, since it uses as much as digits as its factorization.

80476426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 80476426368 in words is "eighty billion, four hundred seventy-six million, four hundred twenty-six thousand, three hundred sixty-eight".