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6473429424 = 24327113137509
BaseRepresentation
bin1100000011101100…
…01011000110110000
3121201010220021202100
412001312023012300
5101224144220144
62550204020400
7316263146040
oct60166130660
917633807670
106473429424
11282209a380
121307b31700
137c21a9b17
14455a49720
1527d4a3269
hex181d8b1b0

6473429424 has 480 divisors, whose sum is σ = 23992750080. Its totient is φ = 1580083200.

The previous prime is 6473429411. The next prime is 6473429429. The reversal of 6473429424 is 4249243746.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6473429424.

It is not an unprimeable number, because it can be changed into a prime (6473429429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12717682 + ... + 12718190.

It is an arithmetic number, because the mean of its divisors is an integer number (49984896).

Almost surely, 26473429424 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 6473429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996375040).

6473429424 is an abundant number, since it is smaller than the sum of its proper divisors (17519320656).

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

6473429424 is a wasteful number, since it uses less digits than its factorization.

6473429424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 6473429424 is about 80457.6250208767. The cubic root of 6473429424 is about 1863.7091575297.

The spelling of 6473429424 in words is "six billion, four hundred seventy-three million, four hundred twenty-nine thousand, four hundred twenty-four".