Search a number
-
+
5249477424384 = 2834611341413
BaseRepresentation
bin100110001100011110100…
…1111001011010100000000
3200120211211002220101120000
41030120331033023110000
51142001412210040014
615055324315320000
71051155641610624
oct114307517132400
920524732811500
105249477424384
111744322174a36
12709473450000
132c103cac54cb
1414210ca07184
159183e713509
hex4c63d3cb500

5249477424384 has 180 divisors, whose sum is σ = 15655930473876. Its totient is φ = 1749497315328.

The previous prime is 5249477424353. The next prime is 5249477424403. The reversal of 5249477424384 is 4834247749425.

It is a happy number.

5249477424384 is a `hidden beast` number, since 5 + 2 + 4 + 9 + 477 + 42 + 43 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3579179664384 + 1670297760000 = 1891872^2 + 1292400^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126738462 + ... + 126779874.

Almost surely, 25249477424384 is an apocalyptic number.

5249477424384 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 5249477424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827965236938).

5249477424384 is an abundant number, since it is smaller than the sum of its proper divisors (10406453049492).

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

5249477424384 is an equidigital number, since it uses as much as digits as its factorization.

5249477424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47554 (or 47531 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 5249477424384 in words is "five trillion, two hundred forty-nine billion, four hundred seventy-seven million, four hundred twenty-four thousand, three hundred eighty-four".