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12428905225 = 5211220272
BaseRepresentation
bin10111001001101001…
…00000101100001001
31012002012011210201011
423210310200230021
5200423244431400
65413150323521
7616666644202
oct134464405411
935065153634
1012428905225
1152a887a500
1224aa4b95a1
131230c869b9
1485c9885a9
154cb2438ba
hex2e4d20b09

12428905225 has 27 divisors (see below), whose sum is σ = 16948651111. Its totient is φ = 9034744400.

The previous prime is 12428905217. The next prime is 12428905273. The reversal of 12428905225 is 52250982421.

The square root of 12428905225 is 111485.

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., 4474405881 + 7954499344 = 66891^2 + 89188^2 .

It is not a de Polignac number, because 12428905225 - 23 = 12428905217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6130662 + ... + 6132688.

Almost surely, 212428905225 is an apocalyptic number.

12428905225 is the 111485-th square number.

12428905225 is the 55743-rd centered octagonal number.

It is an amenable number.

12428905225 is a deficient number, since it is larger than the sum of its proper divisors (4519745886).

12428905225 is an frugal number, since it uses more digits than its factorization.

12428905225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 12428905225 in words is "twelve billion, four hundred twenty-eight million, nine hundred five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2027 3025 10135 22297 50675 111485 245267 557425 1226335 4108729 6131675 20543645 45196019 102718225 225980095 497156209 1129900475 2485781045 12428905225