Search a number
-
+
5134474016 = 25733747269
BaseRepresentation
bin1001100100000100…
…11101101100100000
3111020211102022020022
410302002131230200
541003411132031
62205253333012
7241144211000
oct46202355440
914224368208
105134474016
1121a5305361
12bb3637168
1363a982909
14369ca8000
15200b6a97b
hex13209db20

5134474016 has 192 divisors, whose sum is σ = 12410496000. Its totient is φ = 2087672832.

The previous prime is 5134474003. The next prime is 5134474049. The reversal of 5134474016 is 6104744315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19087130 + ... + 19087398.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 25134474016 is an apocalyptic number.

5134474016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

5134474016 is an abundant number, since it is smaller than the sum of its proper divisors (7276021984).

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

5134474016 is a wasteful number, since it uses less digits than its factorization.

5134474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5134474016 is about 71655.2441625873. The cubic root of 5134474016 is about 1725.1703553384.

The spelling of 5134474016 in words is "five billion, one hundred thirty-four million, four hundred seventy-four thousand, sixteen".