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28731945025 = 52722921672
BaseRepresentation
bin11010110000100011…
…101011000001000001
32202011101020000222001
4122300203223001001
5432320334220100
621111013144001
72035001334400
oct326043530101
982141200861
1028731945025
1111204485613
12569a32b001
13292b763504
141567c81637
15b32648d6a
hex6b08eb041

28731945025 has 81 divisors (see below), whose sum is σ = 43181322249. Its totient is φ = 18908621760.

The previous prime is 28731945019. The next prime is 28731945091. The reversal of 28731945025 is 52054913782.

The square root of 28731945025 is 169505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 394936129 + 28337008896 = 19873^2 + 168336^2 .

It is not a de Polignac number, because 28731945025 - 213 = 28731936833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 172047492 + ... + 172047658.

Almost surely, 228731945025 is an apocalyptic number.

28731945025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28731945025 is the 169505-th square number.

28731945025 is the 84753-rd centered octagonal number.

It is an amenable number.

28731945025 is a deficient number, since it is larger than the sum of its proper divisors (14449377224).

28731945025 is an equidigital number, since it uses as much as digits as its factorization.

28731945025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 28731945025 in words is "twenty-eight billion, seven hundred thirty-one million, nine hundred forty-five thousand, twenty-five".

Divisors: 1 5 7 25 29 35 49 145 167 175 203 245 725 835 841 1015 1169 1225 1421 4175 4205 4843 5075 5845 5887 7105 8183 21025 24215 27889 29225 29435 33901 35525 40915 41209 121075 139445 140447 147175 169505 195223 204575 206045 237307 697225 702235 808781 847525 976115 983129 1030225 1186535 1366561 3511175 4043905 4880575 4915645 5661467 5932675 6832805 6881903 20219525 23454649 24578225 28307335 34164025 34409515 39630269 117273245 141536675 164182543 172047575 198151345 586366225 820912715 990756725 1149277801 4104563575 5746389005 28731945025