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80829333025 = 527281232
BaseRepresentation
bin100101101000111001…
…1011011111000100001
321201122010122120000221
41023101303123320201
52311014302124100
6101044341043041
75561011665100
oct1132163337041
9251563576027
1080829333025
1131309062281
12137b96b6481
137811bb820c
143caad7c037
1521811dc01a
hex12d1cdbe21

80829333025 has 27 divisors (see below), whose sum is σ = 116606544051. Its totient is φ = 55419005040.

The previous prime is 80829333023. The next prime is 80829333043. The reversal of 80829333025 is 52033392808.

The square root of 80829333025 is 284305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29098559889 + 51730773136 = 170583^2 + 227444^2 .

It is not a de Polignac number, because 80829333025 - 21 = 80829333023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80829333023) 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 26 ways as a sum of consecutive naturals, for example, 9946614 + ... + 9954736.

Almost surely, 280829333025 is an apocalyptic number.

80829333025 is the 284305-th square number.

80829333025 is the 142153-rd centered octagonal number.

It is an amenable number.

80829333025 is a deficient number, since it is larger than the sum of its proper divisors (35777211026).

80829333025 is an frugal number, since it uses more digits than its factorization.

80829333025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16270 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 80829333025 in words is "eighty billion, eight hundred twenty-nine million, three hundred thirty-three thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8123 40615 56861 203075 284305 398027 1421525 1990135 9950675 65983129 329915645 461881903 1649578225 2309409515 3233173321 11547047575 16165866605 80829333025