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4484057130 = 23657212553
BaseRepresentation
bin1000010110100010…
…10100100000101010
3102120111112201000000
410023101110200222
533140404312010
62020540523430
7216055566600
oct41321244052
912514481000
104484057130
1119a1151543
12a51850576
13565cb3c57
14307759870
151b39de7c0
hex10b45482a

4484057130 has 168 divisors, whose sum is σ = 14078281572. Its totient is φ = 1024845696.

The previous prime is 4484057099. The next prime is 4484057131. The reversal of 4484057130 is 317504844.

4484057130 is a `hidden beast` number, since 4 + 4 + 84 + 0 + 571 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4105093041 + 378964089 = 64071^2 + 19467^2 .

It is not an unprimeable number, because it can be changed into a prime (4484057131) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 350934 + ... + 363486.

Almost surely, 24484057130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484057130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039140786).

4484057130 is an abundant number, since it is smaller than the sum of its proper divisors (9594224442).

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

4484057130 is a wasteful number, since it uses less digits than its factorization.

4484057130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4484057130 is about 66963.1027506940. The cubic root of 4484057130 is about 1649.0116063914.

It can be divided in two parts, 448405 and 7130, that added together give a triangular number (455535 = T954).

The spelling of 4484057130 in words is "four billion, four hundred eighty-four million, fifty-seven thousand, one hundred thirty".