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6345122016 = 253600711003
BaseRepresentation
bin1011110100011001…
…01110000011100000
3121101012110121002010
411322030232003200
5100443322401031
62525341552520
7313144435002
oct57214560340
917335417063
106345122016
1127667240a2
121290b75740
137a173488c
144429aa372
152720ab246
hex17a32e0e0

6345122016 has 48 divisors (see below), whose sum is σ = 16660232064. Its totient is φ = 2114496384.

The previous prime is 6345121997. The next prime is 6345122039. The reversal of 6345122016 is 6102215436.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571171 + ... + 582173.

It is an arithmetic number, because the mean of its divisors is an integer number (347088168).

Almost surely, 26345122016 is an apocalyptic number.

It is an amenable number.

6345122016 is an abundant number, since it is smaller than the sum of its proper divisors (10315110048).

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

6345122016 is a wasteful number, since it uses less digits than its factorization.

6345122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6345122016 is about 79656.2741784977. The cubic root of 6345122016 is about 1851.3136047616.

The spelling of 6345122016 in words is "six billion, three hundred forty-five million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6007 11003 12014 18021 22006 24028 33009 36042 44012 48056 66018 72084 88024 96112 132036 144168 176048 192224 264072 288336 352096 528144 576672 1056288 66095021 132190042 198285063 264380084 396570126 528760168 793140252 1057520336 1586280504 2115040672 3172561008 6345122016