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6425915040 = 2532553269313
BaseRepresentation
bin1011111110000001…
…11010111010100000
3121120211111022021100
411333000322322200
5101130013240130
62541345354400
7315145243116
oct57700727240
917524438240
106425915040
1127a8297096
1212b4038a00
137b53b1bbc
1444d5dbab6
15279219c60
hex17f03aea0

6425915040 has 288 divisors, whose sum is σ = 22496881680. Its totient is φ = 1669644288.

The previous prime is 6425915003. The next prime is 6425915071. The reversal of 6425915040 is 405195246.

6425915040 is a `hidden beast` number, since 64 + 2 + 5 + 91 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 287505936 + 6138409104 = 16956^2 + 78348^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6425914986 and 6425915004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20529924 + ... + 20530236.

Almost surely, 26425915040 is an apocalyptic number.

6425915040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248440840).

6425915040 is an abundant number, since it is smaller than the sum of its proper divisors (16070966640).

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

6425915040 is a wasteful number, since it uses less digits than its factorization.

6425915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6425915040 is about 80161.8053688912. The cubic root of 6425915040 is about 1859.1381369496.

The spelling of 6425915040 in words is "six billion, four hundred twenty-five million, nine hundred fifteen thousand, forty".