Search a number
-
+
5385954168 = 2333721926783
BaseRepresentation
bin1010000010000011…
…10010001101111000
3111220100121211011000
411001001302031320
542012301013133
62250235405000
7250316566200
oct50101621570
914810554130
105385954168
11231425a0a1
1210638b3760
1367aac2c3a
1439144b400
15217c93413
hex141072378

5385954168 has 192 divisors, whose sum is σ = 18320256000. Its totient is φ = 1457797824.

The previous prime is 5385954163. The next prime is 5385954169. The reversal of 5385954168 is 8614595835.

5385954168 is a `hidden beast` number, since 5 + 3 + 8 + 595 + 41 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385954163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187705 + ... + 214487.

It is an arithmetic number, because the mean of its divisors is an integer number (95418000).

Almost surely, 25385954168 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 5385954168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

5385954168 is an abundant number, since it is smaller than the sum of its proper divisors (12934301832).

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

5385954168 is a wasteful number, since it uses less digits than its factorization.

5385954168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26831 (or 26814 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The square root of 5385954168 is about 73389.0602746758. The cubic root of 5385954168 is about 1752.8882013546. Note that the first 3 decimals are identical.

The spelling of 5385954168 in words is "five billion, three hundred eighty-five million, nine hundred fifty-four thousand, one hundred sixty-eight".