Search a number
-
+
16301016160 = 25511134117377
BaseRepresentation
bin11110010111001110…
…11100010001100000
31120002001020102100021
433023213130101200
5231341030004120
611253311203224
71114645231312
oct171347342140
946061212307
1016301016160
116a05553790
1231ab216514
1316ca24b6c0
14b08d2b7b2
15656155aaa
hex3cb9dc460

16301016160 has 192 divisors, whose sum is σ = 46350045504. Its totient is φ = 5337907200.

The previous prime is 16301016107. The next prime is 16301016169. The reversal of 16301016160 is 6161010361.

16301016160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163010161602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16301016169) 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 31 ways as a sum of consecutive naturals, for example, 929392 + ... + 946768.

It is an arithmetic number, because the mean of its divisors is an integer number (241406487).

Almost surely, 216301016160 is an apocalyptic number.

16301016160 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 16301016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175022752).

16301016160 is an abundant number, since it is smaller than the sum of its proper divisors (30049029344).

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

16301016160 is a wasteful number, since it uses less digits than its factorization.

16301016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 16301016160 in words is "sixteen billion, three hundred one million, sixteen thousand, one hundred sixty".