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5674063824 = 24331113531733
BaseRepresentation
bin1010100100011001…
…10101011111010000
3112122102202022022000
411102030311133100
543110030020244
62335010514000
7260415514062
oct52214653720
915572668260
105674063824
112451952150
121124295900
136c56b9920
143bb807732
15233204169
hex1523357d0

5674063824 has 320 divisors, whose sum is σ = 19506251520. Its totient is φ = 1556305920.

The previous prime is 5674063823. The next prime is 5674063859. The reversal of 5674063824 is 4283604765.

5674063824 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 0 + 638 + 2 + 4 = 666.

5674063824 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5674063824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674063823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3273262 + ... + 3274994.

It is an arithmetic number, because the mean of its divisors is an integer number (60957036).

Almost surely, 25674063824 is an apocalyptic number.

5674063824 is a gapful number since it is divisible by the number (54) 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 5674063824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753125760).

5674063824 is an abundant number, since it is smaller than the sum of its proper divisors (13832187696).

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

5674063824 is a wasteful number, since it uses less digits than its factorization.

5674063824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5674063824 is about 75326.3819919688. The cubic root of 5674063824 is about 1783.6024991296.

The spelling of 5674063824 in words is "five billion, six hundred seventy-four million, sixty-three thousand, eight hundred twenty-four".