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6424000000 = 29561173
BaseRepresentation
bin1011111101110011…
…00111011000000000
3121120200220000022221
411332321213120000
5101124021000000
62541240340424
7315123045655
oct57671473000
917520800287
106424000000
1127a71a9310
1212b3474714
137b4b91342
1444d25dc2c
15278e8c61a
hex17ee67600

6424000000 has 280 divisors, whose sum is σ = 17742429144. Its totient is φ = 2304000000.

The previous prime is 6423999949. The next prime is 6424000003. The reversal of 6424000000 is 4246.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424000003) 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 27 ways as a sum of consecutive naturals, for example, 87999964 + ... + 88000036.

Almost surely, 26424000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871214572).

6424000000 is an abundant number, since it is smaller than the sum of its proper divisors (11318429144).

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

6424000000 is an frugal number, since it uses more digits than its factorization.

6424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6424000000 is about 80149.8596380555. The cubic root of 6424000000 is about 1858.9534328976.

Adding to 6424000000 its reverse (4246), we get a palindrome (6424004246).

The spelling of 6424000000 in words is "six billion, four hundred twenty-four million", and thus it is an aban number.