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6427242432 = 263413283337
BaseRepresentation
bin1011111110001011…
…11110111111000000
3121120220222202010000
411333011332333000
5101130333224212
62541434040000
7315162442062
oct57705767700
917526882100
106427242432
1127a9013406
1212b4579000
137b5758140
1444d865732
152793cd1dc
hex17f17efc0

6427242432 has 280 divisors, whose sum is σ = 20651526896. Its totient is φ = 1964777472.

The previous prime is 6427242427. The next prime is 6427242457. The reversal of 6427242432 is 2342427246.

6427242432 is a `hidden beast` number, since 642 + 7 + 2 + 4 + 2 + 4 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19071768 + ... + 19072104.

Almost surely, 26427242432 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 6427242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325763448).

6427242432 is an abundant number, since it is smaller than the sum of its proper divisors (14224284464).

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

6427242432 is a wasteful number, since it uses less digits than its factorization.

6427242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 6427242432 is about 80170.0843956148. The cubic root of 6427242432 is about 1859.2661412971.

Adding to 6427242432 its reverse (2342427246), we get a palindrome (8769669678).

The spelling of 6427242432 in words is "six billion, four hundred twenty-seven million, two hundred forty-two thousand, four hundred thirty-two".