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5183281152 = 21133721913
BaseRepresentation
bin1001101001111001…
…01001100000000000
3111101020020222001000
410310330221200000
541103404444102
62214155412000
7242306106600
oct46474514000
914336228030
105183281152
11221a910935
121007a54000
13647b1108a
14372570c00
152050ac01c
hex134f29800

5183281152 has 288 divisors, whose sum is σ = 17870252400. Its totient is φ = 1480163328.

The previous prime is 5183281151. The next prime is 5183281177. The reversal of 5183281152 is 2511823815.

5183281152 is a `hidden beast` number, since 518 + 3 + 28 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183281151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708548 + ... + 2710460.

Almost surely, 25183281152 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 5183281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935126200).

5183281152 is an abundant number, since it is smaller than the sum of its proper divisors (12686971248).

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

5183281152 is a wasteful number, since it uses less digits than its factorization.

5183281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1925 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 5183281152 is about 71995.0078269320. The cubic root of 5183281152 is about 1730.6194838948.

The spelling of 5183281152 in words is "five billion, one hundred eighty-three million, two hundred eighty-one thousand, one hundred fifty-two".