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80466642432 = 2933112971257
BaseRepresentation
bin100101011110000101…
…1111000011000000000
321200200212011222002000
41022330023320120000
52304243430024212
6100544343224000
75546016114111
oct1127413703000
9250625158060
1080466642432
113114235a490
1213718148000
137784a0a8b7
143c74b2a208
15215e4481dc
hex12bc2f8600

80466642432 has 640 divisors, whose sum is σ = 273646771200. Its totient is φ = 23121100800.

The previous prime is 80466642397. The next prime is 80466642437. The reversal of 80466642432 is 23424666408.

It is a super-3 number, since 3×804666424323 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80466642437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313099648 + ... + 313099904.

It is an arithmetic number, because the mean of its divisors is an integer number (427573080).

Almost surely, 280466642432 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 80466642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136823385600).

80466642432 is an abundant number, since it is smaller than the sum of its proper divisors (193180128768).

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

80466642432 is a wasteful number, since it uses less digits than its factorization.

80466642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 80466642432 in words is "eighty billion, four hundred sixty-six million, six hundred forty-two thousand, four hundred thirty-two".