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1679652864 = 2113291127
BaseRepresentation
bin110010000011101…
…0111100000000000
311100001120012120100
41210013113200000
511414442342424
6434400442400
756423546061
oct14407274000
94301505510
101679652864
1179213606a
123aa619400
13209ca4146
1411d10a568
159c6d4dc9
hex641d7800

1679652864 has 72 divisors (see below), whose sum is σ = 4851199080. Its totient is φ = 559878144.

The previous prime is 1679652857. The next prime is 1679652869. The reversal of 1679652864 is 4682569761.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1679652864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679652869) 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 5 ways as a sum of consecutive naturals, for example, 27132 + ... + 63995.

It is an arithmetic number, because the mean of its divisors is an integer number (67377765).

Almost surely, 21679652864 is an apocalyptic number.

It is an amenable number.

1679652864 is an abundant number, since it is smaller than the sum of its proper divisors (3171546216).

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

1679652864 is an equidigital number, since it uses as much as digits as its factorization.

1679652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91155 (or 91132 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 1679652864 is about 40983.5682194706. The cubic root of 1679652864 is about 1188.7025059724.

The spelling of 1679652864 in words is "one billion, six hundred seventy-nine million, six hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 91127 182254 273381 364508 546762 729016 820143 1093524 1458032 1640286 2187048 2916064 3280572 4374096 5832128 6561144 8748192 11664256 13122288 17496384 23328512 26244576 34992768 46657024 52489152 69985536 93314048 104978304 139971072 186628096 209956608 279942144 419913216 559884288 839826432 1679652864