Search a number
-
+
5724192768 = 21437127131
BaseRepresentation
bin1010101010011000…
…00100000000000000
3112202221002010021120
411111030010000000
543210343132033
62344001152240
7261564556440
oct52514040000
915687063246
105724192768
112478180828
12113902b680
13702bbb918
143c4336120
152378071b3
hex155304000

5724192768 has 240 divisors, whose sum is σ = 17716199424. Its totient is φ = 1610219520.

The previous prime is 5724192731. The next prime is 5724192779. The reversal of 5724192768 is 8672914275.

It is a happy number.

Its product of digits (1693440) is a multiple of the sum of its prime divisors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 5724192768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43696063 + ... + 43696193.

Almost surely, 25724192768 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 5724192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858099712).

5724192768 is an abundant number, since it is smaller than the sum of its proper divisors (11992006656).

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

5724192768 is a wasteful number, since it uses less digits than its factorization.

5724192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 5724192768 is about 75658.3952248526. The cubic root of 5724192768 is about 1788.8396678789.

The spelling of 5724192768 in words is "five billion, seven hundred twenty-four million, one hundred ninety-two thousand, seven hundred sixty-eight".