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8020728504 = 2332111399007
BaseRepresentation
bin1110111100001001…
…01001101010111000
3202200222102020001200
413132010221222320
5112411301303004
63403520014200
7402522032055
oct73604515270
922628366050
108020728504
113446546048
12167a161360
139aa91ccc9
1456134202c
1531e242239
hex1de129ab8

8020728504 has 24 divisors (see below), whose sum is σ = 21722806560. Its totient is φ = 2673576144.

The previous prime is 8020728491. The next prime is 8020728577. The reversal of 8020728504 is 4058270208.

It is a happy number.

8020728504 is a `hidden beast` number, since 80 + 2 + 0 + 72 + 8 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55699432 + ... + 55699575.

It is an arithmetic number, because the mean of its divisors is an integer number (905116940).

Almost surely, 28020728504 is an apocalyptic number.

It is an amenable number.

8020728504 is an abundant number, since it is smaller than the sum of its proper divisors (13702078056).

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

8020728504 is a wasteful number, since it uses less digits than its factorization.

8020728504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111399019 (or 111399012 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8020728504 is about 89558.5199967038. The cubic root of 8020728504 is about 2001.7258855644.

The spelling of 8020728504 in words is "eight billion, twenty million, seven hundred twenty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 111399007 222798014 334197021 445596028 668394042 891192056 1002591063 1336788084 2005182126 2673576168 4010364252 8020728504