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80274136320 = 283557223229
BaseRepresentation
bin100101011000010110…
…1100001110100000000
321200012102221122100000
41022300231201310000
52303400134330240
6100513305200000
75541160620600
oct1126055416400
9250172848300
1080274136320
1131053725824
1213683790000
137753b78561
143c57338c00
15214c5be430
hex12b0b61d00

80274136320 has 1296 divisors, whose sum is σ = 351145791360. Its totient is φ = 17473978368.

The previous prime is 80274136303. The next prime is 80274136333. The reversal of 80274136320 is 2363147208.

It is a happy number.

80274136320 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 4 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350541966 + ... + 350542194.

Almost surely, 280274136320 is an apocalyptic number.

80274136320 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 80274136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175572895680).

80274136320 is an abundant number, since it is smaller than the sum of its proper divisors (270871655040).

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

80274136320 is a wasteful number, since it uses less digits than its factorization.

80274136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 80274136320 in words is "eighty billion, two hundred seventy-four million, one hundred thirty-six thousand, three hundred twenty".