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16183656225 = 34521122572
BaseRepresentation
bin11110001001001111…
…01111111100100001
31112202212101220210000
433010213233330201
5231121003444400
611233515530213
71112021544132
oct170447577441
945685356700
1016183656225
116955285500
123177a59969
1316abb3a359
14ad74dbc89
1564abc2600
hex3c49eff21

16183656225 has 135 divisors (see below), whose sum is σ = 33079435081. Its totient is φ = 7816089600.

The previous prime is 16183656199. The next prime is 16183656227. The reversal of 16183656225 is 52265638161.

The square root of 16183656225 is 127215.

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

16183656225 is a `hidden beast` number, since 1 + 6 + 1 + 83 + 6 + 562 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3976941969 + 12206714256 = 63063^2 + 110484^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 16183656225 - 25 = 16183656193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16183656227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62971297 + ... + 62971553.

Almost surely, 216183656225 is an apocalyptic number.

16183656225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16183656225 is the 127215-th square number.

16183656225 is the 63608-th centered octagonal number.

It is an amenable number.

16183656225 is an abundant number, since it is smaller than the sum of its proper divisors (16895778856).

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

16183656225 is an equidigital number, since it uses as much as digits as its factorization.

16183656225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 276 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 16183656225 in words is "sixteen billion, one hundred eighty-three million, six hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 257 275 297 363 405 495 605 675 771 825 891 1089 1285 1485 1815 2025 2313 2475 2827 3025 3267 3855 4455 5445 6425 6939 7425 8481 9075 9801 11565 14135 16335 19275 20817 22275 25443 27225 31097 34695 42405 49005 57825 66049 70675 76329 81675 93291 104085 127215 155485 173475 198147 212025 228987 245025 279873 330245 381645 466455 520425 594441 636075 726539 777425 839619 990735 1144935 1399365 1651225 1783323 1908225 2179617 2332275 2518857 2972205 3632695 4198095 4953675 5349969 5724675 6538851 6996825 7991929 8916615 10898085 12594285 14861025 18163475 19616553 20990475 23975787 26749845 32694255 39959645 44583075 54490425 58849659 62971425 71927361 98082765 119878935 133749225 163471275 199798225 215782083 294248295 359636805 490413825 599394675 647346249 1078910415 1471241475 1798184025 3236731245 5394552075 16183656225