Search a number
-
+
4986517536 = 2532731113353
BaseRepresentation
bin1001010010011100…
…00011100000100000
3110212112000100002200
410221032003200200
540203022030121
62142450213200
7234366462000
oct45116034040
913775010080
104986517536
112129839480
12b71b84200
1361611abc0
14354392000
151e2b91a26
hex129383820

4986517536 has 576 divisors, whose sum is σ = 19483027200. Its totient is φ = 1192181760.

The previous prime is 4986517531. The next prime is 4986517541. The reversal of 4986517536 is 6357156894.

4986517536 is a `hidden beast` number, since 4 + 98 + 6 + 5 + 17 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (4986517531) and next prime (4986517541).

It is a super-2 number, since 2×49865175362 = 49730714273671022592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4986517531) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14125936 + ... + 14126288.

It is an arithmetic number, because the mean of its divisors is an integer number (33824700).

Almost surely, 24986517536 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 4986517536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741513600).

4986517536 is an abundant number, since it is smaller than the sum of its proper divisors (14496509664).

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

4986517536 is a wasteful number, since it uses less digits than its factorization.

4986517536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 4986517536 is about 70615.2783468280. The cubic root of 4986517536 is about 1708.4375838428.

The spelling of 4986517536 in words is "four billion, nine hundred eighty-six million, five hundred seventeen thousand, five hundred thirty-six".