Search a number
-
+
16301317920 = 2535374161367
BaseRepresentation
bin11110010111010001…
…00101111100100000
31120002001210202021120
433023220211330200
5231341114133140
611253321452240
71114650626136
oct171350457440
946061722246
1016301317920
116a0573a478
1231ab341080
1316ca325b64
14b08da9756
156561b51d0
hex3cba25f20

16301317920 has 384 divisors, whose sum is σ = 55058476032. Its totient is φ = 4047667200.

The previous prime is 16301317913. The next prime is 16301317927. The reversal of 16301317920 is 2971310361.

16301317920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16301317913) and next prime (16301317927).

It is not an unprimeable number, because it can be changed into a prime (16301317927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44417577 + ... + 44417943.

It is an arithmetic number, because the mean of its divisors is an integer number (143381448).

Almost surely, 216301317920 is an apocalyptic number.

16301317920 is a gapful number since it is divisible by the number (10) 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 16301317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27529238016).

16301317920 is an abundant number, since it is smaller than the sum of its proper divisors (38757158112).

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

16301317920 is a wasteful number, since it uses less digits than its factorization.

16301317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 16301317920 in words is "sixteen billion, three hundred one million, three hundred seventeen thousand, nine hundred twenty".