Search a number
-
+
5716181016 = 2334713315359
BaseRepresentation
bin1010101001011011…
…00000000000011000
3112202101000002020000
411110231200000120
543201320243031
62343113333000
7261436510530
oct52455400030
915671002200
105716181016
1124736a9447
121136407160
13701345040
143c324c4c0
15236c733e6
hex154b60018

5716181016 has 640 divisors, whose sum is σ = 21076070400. Its totient is φ = 1407144960.

The previous prime is 5716180979. The next prime is 5716181059. The reversal of 5716181016 is 6101816175.

5716181016 is a `hidden beast` number, since 571 + 6 + 1 + 81 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96884395 + ... + 96884453.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 25716181016 is an apocalyptic number.

5716181016 is a gapful number since it is divisible by the number (56) 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 5716181016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538035200).

5716181016 is an abundant number, since it is smaller than the sum of its proper divisors (15359889384).

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

5716181016 is a wasteful number, since it uses less digits than its factorization.

5716181016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5716181016 is about 75605.4298050081. The cubic root of 5716181016 is about 1788.0047069828.

The spelling of 5716181016 in words is "five billion, seven hundred sixteen million, one hundred eighty-one thousand, sixteen".