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8020542123 = 32111031515209
BaseRepresentation
bin1110111100000111…
…11100001010101011
3202200222001202101200
413132003330022223
5112411224321443
63403512015243
7402520324506
oct73603741253
922628052350
108020542123
113446429010
12167a091523
139aa886219
145612d413d
1531e206dd3
hex1de0fc2ab

8020542123 has 48 divisors (see below), whose sum is σ = 12848110080. Its totient is φ = 4780944000.

The previous prime is 8020542119. The next prime is 8020542157. The reversal of 8020542123 is 3212450208.

8020542123 is a `hidden beast` number, since 80 + 20 + 542 + 1 + 23 = 666.

It is not a de Polignac number, because 8020542123 - 22 = 8020542119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8020542323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537143 + ... + 1542351.

It is an arithmetic number, because the mean of its divisors is an integer number (267668960).

Almost surely, 28020542123 is an apocalyptic number.

8020542123 is a deficient number, since it is larger than the sum of its proper divisors (4827567957).

8020542123 is a wasteful number, since it uses less digits than its factorization.

8020542123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8020542123 is about 89557.4794363933. The cubic root of 8020542123 is about 2001.7103804657.

The spelling of 8020542123 in words is "eight billion, twenty million, five hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 103 151 309 453 927 1133 1359 1661 3399 4983 5209 10197 14949 15553 15627 46659 46881 57299 139977 171083 171897 513249 515691 536527 786559 1539747 1609581 2359677 4828743 5901797 7079031 8652149 17705391 25956447 53116173 77869341 81015577 243046731 729140193 891171347 2673514041 8020542123