Search a number
-
+
5003454960 = 24325717232539
BaseRepresentation
bin1001010100011101…
…01010100111110000
3110220200212211212200
410222032222213300
540221341024320
62144253223200
7234663444150
oct45216524760
913820784780
105003454960
112138357849
12b77791b00
1361979b34a
14356720760
151e43da290
hex12a3aa9f0

5003454960 has 480 divisors, whose sum is σ = 21225784320. Its totient is φ = 1029169152.

The previous prime is 5003454899. The next prime is 5003454961. The reversal of 5003454960 is 694543005.

It is a happy number.

5003454960 is a `hidden beast` number, since 50 + 0 + 3 + 4 + 549 + 60 = 666.

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 (5003454961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1969371 + ... + 1971909.

It is an arithmetic number, because the mean of its divisors is an integer number (44220384).

Almost surely, 25003454960 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 5003454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612892160).

5003454960 is an abundant number, since it is smaller than the sum of its proper divisors (16222329360).

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

5003454960 is a wasteful number, since it uses less digits than its factorization.

5003454960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5003454960 is about 70735.1041562816. The cubic root of 5003454960 is about 1710.3697158933.

Adding to 5003454960 its reverse (694543005), we get a palindrome (5697997965).

The spelling of 5003454960 in words is "five billion, three million, four hundred fifty-four thousand, nine hundred sixty".