Search a number
-
+
5009724720 = 24335721113331
BaseRepresentation
bin1001010101001101…
…00101010100110000
3110221010200101101000
410222212211110300
540224442142340
62145035442000
7235100646300
oct45246452460
913833611330
105009724720
11214094a370
12b798b6300
1361ab85070
143574b3600
151e4c27d30
hex12a9a5530

5009724720 has 960 divisors, whose sum is σ = 23653486080. Its totient is φ = 958003200.

The previous prime is 5009724703. The next prime is 5009724721. The reversal of 5009724720 is 274279005.

5009724720 is a `hidden beast` number, since 500 + 97 + 2 + 47 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5009724721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15134955 + ... + 15135285.

It is an arithmetic number, because the mean of its divisors is an integer number (24639048).

Almost surely, 25009724720 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 5009724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826743040).

5009724720 is an abundant number, since it is smaller than the sum of its proper divisors (18643761360).

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

5009724720 is a wasteful number, since it uses less digits than its factorization.

5009724720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5009724720 is about 70779.4088700944. The cubic root of 5009724720 is about 1711.0838312149.

The spelling of 5009724720 in words is "five billion, nine million, seven hundred twenty-four thousand, seven hundred twenty".