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80240254976 = 213722961113
BaseRepresentation
bin100101010111010110…
…0010010000000000000
321200010002012021212102
41022232230102000000
52303313001124401
6100510055045532
75540266625300
oct1125654220000
9250102167772
1080240254976
1131036594212
12136743708a8
137749b44a1b
143c52a39600
15214962a56b
hex12aeb12000

80240254976 has 336 divisors, whose sum is σ = 198009525240. Its totient is φ = 32369541120.

The previous prime is 80240254973. The next prime is 80240254981. The reversal of 80240254976 is 67945204208.

It can be written as a sum of positive squares in 4 ways, for example, as 22793752576 + 57446502400 = 150976^2 + 239680^2 .

It is a super-2 number, since 2×802402549762 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80240254976.

It is not an unprimeable number, because it can be changed into a prime (80240254973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710090696 + ... + 710090808.

Almost surely, 280240254976 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 80240254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99004762620).

80240254976 is an abundant number, since it is smaller than the sum of its proper divisors (117769270264).

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

80240254976 is a wasteful number, since it uses less digits than its factorization.

80240254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 80240254976 in words is "eighty billion, two hundred forty million, two hundred fifty-four thousand, nine hundred seventy-six".