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3246249010225 = 521325325232
BaseRepresentation
bin101111001111010011100…
…001001110010000110001
3102111100010200020002221011
4233033103201032100301
5411141304221311400
610523150050230521
7453351035210434
oct57172341162061
912440120202834
103246249010225
1110417a9a33881
1244518a285441
131a7173754400
14b319549381b
15596980c38ba
hex2f3d384e431

3246249010225 has 81 divisors (see below), whose sum is σ = 4451113741347. Its totient is φ = 2347502152320.

The previous prime is 3246249010223. The next prime is 3246249010243. The reversal of 3246249010225 is 5220109426423.

The square root of 3246249010225 is 1801735.

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

3246249010225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2549511564961 + 696737445264 = 1596719^2 + 834708^2 .

It is not a de Polignac number, because 3246249010225 - 21 = 3246249010223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3246249010223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6206976814 + ... + 6206977336.

Almost surely, 23246249010225 is an apocalyptic number.

3246249010225 is the 1801735-th square number.

3246249010225 is the 900868-th centered octagonal number.

It is an amenable number.

3246249010225 is a deficient number, since it is larger than the sum of its proper divisors (1204864731122).

3246249010225 is an frugal number, since it uses more digits than its factorization.

3246249010225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 3246249010225 in words is "three trillion, two hundred forty-six billion, two hundred forty-nine million, ten thousand, two hundred twenty-five".

Divisors: 1 5 13 25 53 65 169 265 325 523 689 845 1325 2615 2809 3445 4225 6799 8957 13075 14045 17225 27719 33995 36517 44785 70225 88387 138595 169975 182585 223925 273529 360347 441935 474721 692975 912925 1367645 1469107 1801735 2209675 2373605 3555877 4684511 6838225 7345535 9008675 11868025 14497037 17779385 19098391 23422555 36727675 46226401 72485185 88896925 95491955 117112775 188461481 231132005 248279083 362425925 477459775 768342961 942307405 1155660025 1241395415 2449999253 3841714805 4711537025 6206977075 9988458493 12249996265 19208574025 49942292465 61249981325 129849960409 249711462325 649249802045 3246249010225