Search a number
-
+
6397054848 = 2732173141257
BaseRepresentation
bin1011111010100101…
…10100111110000000
3121111211012001112100
411331102310332000
5101100121223343
62534435030400
7314345032452
oct57522647600
917454161470
106397054848
112792a74a98
1212a643b400
137ac418972
144498482d2
152769189d3
hex17d4b4f80

6397054848 has 384 divisors, whose sum is σ = 20690691840. Its totient is φ = 1887436800.

The previous prime is 6397054823. The next prime is 6397054849. The reversal of 6397054848 is 8484507936.

6397054848 is a `hidden beast` number, since 6 + 3 + 97 + 0 + 548 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6397054794 and 6397054803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6397054849) by changing a digit.

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, 24891136 + ... + 24891392.

It is an arithmetic number, because the mean of its divisors is an integer number (53882010).

Almost surely, 26397054848 is an apocalyptic number.

6397054848 is a gapful number since it is divisible by the number (68) 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 6397054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345345920).

6397054848 is an abundant number, since it is smaller than the sum of its proper divisors (14293636992).

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

6397054848 is a wasteful number, since it uses less digits than its factorization.

6397054848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 6397054848 is about 79981.5906818563. The cubic root of 6397054848 is about 1856.3506942349.

The spelling of 6397054848 in words is "six billion, three hundred ninety-seven million, fifty-four thousand, eight hundred forty-eight".