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35485140625 = 561121372
BaseRepresentation
bin100001000011000101…
…000100011010010001
310101121000112220202121
4201003011010122101
51040133144000000
624145053414241
72364232501324
oct410305043221
9111530486677
1035485140625
111405a489400
126a63a9a381
1334668a543c
141a08b147bb
15dca460b1a
hex843144691

35485140625 has 63 divisors (see below), whose sum is σ = 49113258061. Its totient is φ = 25619000000.

The previous prime is 35485140569. The next prime is 35485140629. The reversal of 35485140625 is 52604158453.

The square root of 35485140625 is 188375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 31586886529 + 3898254096 = 177727^2 + 62436^2 .

It is not a de Polignac number, because 35485140625 - 221 = 35483043473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35485140629) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 259015557 + ... + 259015693.

Almost surely, 235485140625 is an apocalyptic number.

35485140625 is the 188375-th square number.

35485140625 is the 94188-th centered octagonal number.

It is an amenable number.

35485140625 is a deficient number, since it is larger than the sum of its proper divisors (13628117436).

35485140625 is an frugal number, since it uses more digits than its factorization.

35485140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 35485140625 in words is "thirty-five billion, four hundred eighty-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 137 275 605 625 685 1375 1507 3025 3125 3425 6875 7535 15125 15625 16577 17125 18769 34375 37675 75625 82885 85625 93845 171875 188375 206459 378125 414425 428125 469225 941875 1032295 1890625 2072125 2140625 2271049 2346125 4709375 5161475 10360625 11355245 11730625 23546875 25807375 51803125 56776225 58653125 129036875 259015625 283881125 293265625 645184375 1419405625 3225921875 7097028125 35485140625