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574738353225 = 34521729912
BaseRepresentation
bin10000101110100010001…
…00110100110001001001
32000221111111121102210000
420113101010310301021
533404031004300400
61120010421313213
756344360253031
oct10272104646111
92027444542700
10574738353225
112018218a9473
129347a865809
134227516431a
141db6326c8c1
15ee3c215600
hex85d1134c49

574738353225 has 135 divisors (see below), whose sum is σ = 1132064594661. Its totient is φ = 288204998400.

The previous prime is 574738353223. The next prime is 574738353227. The reversal of 574738353225 is 522353837475.

The square root of 574738353225 is 758115.

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

574738353225 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 3 + 83 + 532 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (574738353223) and next prime (574738353227).

It can be written as a sum of positive squares in 4 ways, for example, as 13443706809 + 561294646416 = 115947^2 + 749196^2 .

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

It is not a de Polignac number, because 574738353225 - 21 = 574738353223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (574738353223) 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, 579957480 + ... + 579958470.

Almost surely, 2574738353225 is an apocalyptic number.

574738353225 is the 758115-th square number.

574738353225 is the 379058-th centered octagonal number.

It is an amenable number.

574738353225 is a deficient number, since it is larger than the sum of its proper divisors (557326241436).

574738353225 is an frugal number, since it uses more digits than its factorization.

574738353225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1016 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 574738353225 in words is "five hundred seventy-four billion, seven hundred thirty-eight million, three hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 289 405 425 459 675 765 867 991 1275 1377 1445 2025 2295 2601 2973 3825 4335 4955 6885 7225 7803 8919 11475 13005 14865 16847 21675 23409 24775 26757 34425 39015 44595 50541 65025 74325 80271 84235 117045 133785 151623 195075 222975 252705 286399 401355 421175 454869 585225 668925 758115 859197 982081 1263525 1364607 1431995 2006775 2274345 2577591 2946243 3790575 4295985 4910405 6823035 7159975 7732773 8838729 11371725 12887955 14731215 16695377 21479925 23198319 24552025 26516187 34115175 38663865 44193645 50086131 64439775 73656075 79548561 83476885 115991595 132580935 150258393 193319325 220968225 250430655 283821409 397742805 417384425 450775179 579957975 662904675 751291965 851464227 1252153275 1352325537 1419107045 1988714025 2253875895 2554392681 3756459825 4257321135 6761627685 7095535225 7663178043 11269379475 12771963405 21286605675 22989534129 33808138425 38315890215 63859817025 114947670645 191579451075 574738353225