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6481482696 = 2332131737101109
BaseRepresentation
bin1100000100101001…
…11001001111001000
3121201201001102202200
412002110321033020
5101233224421241
62551052400200
7316421460003
oct60224711710
917651042680
106481482696
11282669a977
12130a776060
137c3a69580
14456b4453a
1527e0444b6
hex1825393c8

6481482696 has 384 divisors, whose sum is σ = 20951330400. Its totient is φ = 1791590400.

The previous prime is 6481482647. The next prime is 6481482703. The reversal of 6481482696 is 6962841846.

It can be written as a sum of positive squares in 16 ways, for example, as 4391712900 + 2089769796 = 66270^2 + 45714^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59463090 + ... + 59463198.

Almost surely, 26481482696 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 6481482696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475665200).

6481482696 is an abundant number, since it is smaller than the sum of its proper divisors (14469847704).

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

6481482696 is a wasteful number, since it uses less digits than its factorization.

6481482696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 6481482696 is about 80507.6561328176. The cubic root of 6481482696 is about 1864.4816865929.

The spelling of 6481482696 in words is "six billion, four hundred eighty-one million, four hundred eighty-two thousand, six hundred ninety-six".