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6425114400 = 25365223479
BaseRepresentation
bin1011111101111011…
…10111011100100000
3121120202222122000000
411332331313130200
5101124312130100
62541320300000
7315135366645
oct57675673440
917522878000
106425114400
1127a789a601
1212b3911600
137b5191653
1444d46ddcc
1527910c900
hex17ef77720

6425114400 has 504 divisors, whose sum is σ = 24590926080. Its totient is φ = 1635448320.

The previous prime is 6425114389. The next prime is 6425114441. The reversal of 6425114400 is 44115246.

6425114400 is a `hidden beast` number, since 6 + 4 + 251 + 1 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13413361 + ... + 13413839.

It is an arithmetic number, because the mean of its divisors is an integer number (48791520).

Almost surely, 26425114400 is an apocalyptic number.

6425114400 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 6425114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295463040).

6425114400 is an abundant number, since it is smaller than the sum of its proper divisors (18165811680).

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

6425114400 is a wasteful number, since it uses less digits than its factorization.

6425114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6425114400 is about 80156.8113138241. The cubic root of 6425114400 is about 1859.0609203367.

Adding to 6425114400 its reverse (44115246), we get a palindrome (6469229646).

The spelling of 6425114400 in words is "six billion, four hundred twenty-five million, one hundred fourteen thousand, four hundred".