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16346409680 = 245204330121
BaseRepresentation
bin11110011100101001…
…00110101011010000
31120012012122122112202
433032110212223100
5231434140102210
611302012142332
71116036122036
oct171624465320
946165578482
1016346409680
116a29138597
1232024679a8
131706783183
14b10d86556
1565a1209a5
hex3ce526ad0

16346409680 has 20 divisors (see below), whose sum is σ = 38005402692. Its totient is φ = 6538563840.

The previous prime is 16346409659. The next prime is 16346409689. The reversal of 16346409680 is 8690464361.

16346409680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3283748416 + 13062661264 = 57304^2 + 114292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16346409689) 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 3 ways as a sum of consecutive naturals, for example, 102164981 + ... + 102165140.

Almost surely, 216346409680 is an apocalyptic number.

16346409680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16346409680 is an abundant number, since it is smaller than the sum of its proper divisors (21658993012).

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

16346409680 is a wasteful number, since it uses less digits than its factorization.

16346409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204330134 (or 204330128 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 16346409680 in words is "sixteen billion, three hundred forty-six million, four hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 204330121 408660242 817320484 1021650605 1634640968 2043301210 3269281936 4086602420 8173204840 16346409680