Search a number
-
+
5383086016 = 2671131167211
BaseRepresentation
bin1010000001101101…
…10101111111000000
3111220011020002210011
411000312311333000
542011032223031
62250054114304
7250253322220
oct50066657700
914804202704
105383086016
112312680220
12106294b994
1367a32a5c9
14390d02080
152178c86b1
hex140db5fc0

5383086016 has 224 divisors, whose sum is σ = 13895368704. Its totient is φ = 2007936000.

The previous prime is 5383086001. The next prime is 5383086019. The reversal of 5383086016 is 6106803835.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 5383086016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5383086019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25512151 + ... + 25512361.

It is an arithmetic number, because the mean of its divisors is an integer number (62032896).

Almost surely, 25383086016 is an apocalyptic number.

5383086016 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 5383086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947684352).

5383086016 is an abundant number, since it is smaller than the sum of its proper divisors (8512282688).

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

5383086016 is a wasteful number, since it uses less digits than its factorization.

5383086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 5383086016 is about 73369.5169399390. The cubic root of 5383086016 is about 1752.5769941950.

The spelling of 5383086016 in words is "five billion, three hundred eighty-three million, eighty-six thousand, sixteen".