Search a number
-
+
5057543232 = 2633742353
BaseRepresentation
bin1001011010111001…
…11111110001000000
3111001110122211001000
410231130333301000
540324212340412
62153504412000
7236221260000
oct45534776100
914043584030
105057543232
1121659400a5
12b91917000
13627a58541
1435d9a0000
151e90214dc
hex12d73fc40

5057543232 has 560 divisors, whose sum is σ = 18440887680. Its totient is φ = 1356106752.

The previous prime is 5057543221. The next prime is 5057543261. The reversal of 5057543232 is 2323457505.

5057543232 is a `hidden beast` number, since 50 + 575 + 4 + 3 + 2 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95425318 + ... + 95425370.

Almost surely, 25057543232 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 5057543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220443840).

5057543232 is an abundant number, since it is smaller than the sum of its proper divisors (13383344448).

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

5057543232 is an equidigital number, since it uses as much as digits as its factorization.

5057543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 5057543232 is about 71116.4062084130. The cubic root of 5057543232 is about 1716.5107775787.

The spelling of 5057543232 in words is "five billion, fifty-seven million, five hundred forty-three thousand, two hundred thirty-two".