Search a number
-
+
5719022496 = 253711171923
BaseRepresentation
bin1010101001110000…
…10101101110100000
3112202120100110000000
411110320111232200
543203032204441
62343254300000
7261502613655
oct52470255640
915676313000
105719022496
11247526a280
121137357600
13701acb4a5
143c378bc2c
152371352b6
hex154e15ba0

5719022496 has 768 divisors, whose sum is σ = 21424435200. Its totient is φ = 1478062080.

The previous prime is 5719022461. The next prime is 5719022503. The reversal of 5719022496 is 6942209175.

5719022496 is a `hidden beast` number, since 5 + 71 + 90 + 2 + 2 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248653141 + ... + 248653163.

It is an arithmetic number, because the mean of its divisors is an integer number (27896400).

Almost surely, 25719022496 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 5719022496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712217600).

5719022496 is an abundant number, since it is smaller than the sum of its proper divisors (15705412704).

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

5719022496 is a wasteful number, since it uses less digits than its factorization.

5719022496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5719022496 is about 75624.2189777852. The cubic root of 5719022496 is about 1788.3009267836.

The spelling of 5719022496 in words is "five billion, seven hundred nineteen million, twenty-two thousand, four hundred ninety-six".