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80969427000 = 233253711313769
BaseRepresentation
bin100101101101000100…
…1110110100000111000
321201222220021001211200
41023122021312200320
52311311133131000
6101110303454200
75564332526250
oct1133211664070
9251886231750
1080969427000
1131380148a20
12138385b7360
137834c29267
143cc1808960
15218d661500
hex12da276838

80969427000 has 768 divisors, whose sum is σ = 352307404800. Its totient is φ = 16277760000.

The previous prime is 80969426981. The next prime is 80969427001. The reversal of 80969427000 is 72496908.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80969427001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21481116 + ... + 21484884.

It is an arithmetic number, because the mean of its divisors is an integer number (458733600).

Almost surely, 280969427000 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 80969427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176153702400).

80969427000 is an abundant number, since it is smaller than the sum of its proper divisors (271337977800).

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

80969427000 is a wasteful number, since it uses less digits than its factorization.

80969427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 80969427000 in words is "eighty billion, nine hundred sixty-nine million, four hundred twenty-seven thousand".