Search a number
-
+
5647428864 = 2837711131
BaseRepresentation
bin1010100001001110…
…01110110100000000
3112120120122010000000
411100213032310000
543031220210424
62332220000000
7256643232120
oct52047166400
915516563000
105647428864
11243890a990
121117390000
136c00224ac
143b8072c80
15230be23c9
hex1509ced00

5647428864 has 576 divisors, whose sum is σ = 21239285760. Its totient is φ = 1455667200.

The previous prime is 5647428811. The next prime is 5647428869. The reversal of 5647428864 is 4688247465.

It is a happy number.

5647428864 is a `hidden beast` number, since 564 + 74 + 2 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5647428864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5647428869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43110079 + ... + 43110209.

It is an arithmetic number, because the mean of its divisors is an integer number (36873760).

Almost surely, 25647428864 is an apocalyptic number.

5647428864 is a gapful number since it is divisible by the number (54) 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 5647428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10619642880).

5647428864 is an abundant number, since it is smaller than the sum of its proper divisors (15591856896).

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

5647428864 is an equidigital number, since it uses as much as digits as its factorization.

5647428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 5647428864 is about 75149.3770034057. The cubic root of 5647428864 is about 1780.8072826839.

The spelling of 5647428864 in words is "five billion, six hundred forty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".