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80636532480 = 2833572172801
BaseRepresentation
bin100101100011001001…
…1111101011100000000
321201010200212021102000
41023012103331130000
52310120423014410
6101013252424000
75553151134300
oct1130623753400
9251120767360
1080636532480
113121a247389
1213765018000
1377b0c81b5a
143c8d511600
15216e305dc0
hex12c64fd700

80636532480 has 864 divisors, whose sum is σ = 352571849280. Its totient is φ = 17340825600.

The previous prime is 80636532401. The next prime is 80636532481. The reversal of 80636532480 is 8423563608.

It is a happy number.

80636532480 is a `hidden beast` number, since 8 + 0 + 6 + 36 + 532 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (80636532481) 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 95 ways as a sum of consecutive naturals, for example, 28787080 + ... + 28789880.

It is an arithmetic number, because the mean of its divisors is an integer number (408069270).

Almost surely, 280636532480 is an apocalyptic number.

80636532480 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 80636532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176285924640).

80636532480 is an abundant number, since it is smaller than the sum of its proper divisors (271935316800).

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

80636532480 is a wasteful number, since it uses less digits than its factorization.

80636532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 80636532480 in words is "eighty billion, six hundred thirty-six million, five hundred thirty-two thousand, four hundred eighty".