Search a number
-
+
5224071168 = 2163217521
BaseRepresentation
bin1001101110110000…
…10000000000000000
3111111002000022102100
410313120100000000
541144330234133
62222213550400
7243312605121
oct46730200000
914432008370
105224071168
112240940a98
121019645400
136533c3394
14377b4c048
15208967e13
hex137610000

5224071168 has 204 divisors, whose sum is σ = 16010060508. Its totient is φ = 1635778560.

The previous prime is 5224071163. The next prime is 5224071217. The reversal of 5224071168 is 8611704225.

5224071168 is a `hidden beast` number, since 522 + 4 + 0 + 71 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2808152064 + 2415919104 = 52992^2 + 49152^2 .

It is a tau number, because it is divible by the number of its divisors (204).

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

It is not an unprimeable number, because it can be changed into a prime (5224071163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10026748 + ... + 10027268.

Almost surely, 25224071168 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 5224071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005030254).

5224071168 is an abundant number, since it is smaller than the sum of its proper divisors (10785989340).

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

5224071168 is an equidigital number, since it uses as much as digits as its factorization.

5224071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5224071168 is about 72277.7363231583. The cubic root of 5224071168 is about 1735.1473511099.

The spelling of 5224071168 in words is "five billion, two hundred twenty-four million, seventy-one thousand, one hundred sixty-eight".