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6400053225 = 32528324129
BaseRepresentation
bin1011111010111100…
…10000111111101001
3121112000211101112100
411331132100333221
5101101403200400
62535023204013
7314412361206
oct57536207751
917460741470
106400053225
112794732795
1212a7446609
137acc28657
14449dc8cad
15276d0c100
hex17d790fe9

6400053225 has 54 divisors (see below), whose sum is σ = 11605791470. Its totient is φ = 3371420160.

The previous prime is 6400053197. The next prime is 6400053227. The reversal of 6400053225 is 5223500046.

It can be written as a sum of positive squares in 3 ways, for example, as 480135744 + 5919917481 = 21912^2 + 76941^2 .

It is not a de Polignac number, because 6400053225 - 25 = 6400053193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6400053227) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1547961 + ... + 1552089.

Almost surely, 26400053225 is an apocalyptic number.

It is an amenable number.

6400053225 is a deficient number, since it is larger than the sum of its proper divisors (5205738245).

6400053225 is a wasteful number, since it uses less digits than its factorization.

6400053225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6400053225 is about 80000.3326555584. The cubic root of 6400053225 is about 1856.6406802760.

The spelling of 6400053225 in words is "six billion, four hundred million, fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 249 415 747 1245 2075 3735 4129 6225 6889 12387 18675 20645 20667 34445 37161 61935 62001 103225 103335 172225 185805 309675 310005 342707 516675 929025 1028121 1550025 1713535 3084363 5140605 8567675 15421815 25703025 28444681 77109075 85334043 142223405 256002129 426670215 711117025 1280010645 2133351075 6400053225