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12827483584 = 26594617369
BaseRepresentation
bin10111111001001001…
…11101110111000000
31020002222011200102121
423330210331313000
5202232313433314
65520505254024
7632606545216
oct137444756700
936088150377
1012827483584
115492864303
12259ba94314
13129571b196
1489989ccb6
15501225d24
hex2fc93ddc0

12827483584 has 56 divisors (see below), whose sum is σ = 25945642800. Its totient is φ = 6290503680.

The previous prime is 12827483567. The next prime is 12827483597. The reversal of 12827483584 is 48538472821.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737052 + ... + 1744420.

It is an arithmetic number, because the mean of its divisors is an integer number (463315050).

Almost surely, 212827483584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972821400).

12827483584 is an abundant number, since it is smaller than the sum of its proper divisors (13118159216).

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

12827483584 is an equidigital number, since it uses as much as digits as its factorization.

12827483584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7891 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 12827483584 in words is "twelve billion, eight hundred twenty-seven million, four hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 461 472 922 944 1844 1888 3688 3776 7369 7376 14738 14752 27199 29476 29504 54398 58952 108796 117904 217592 235808 434771 435184 471616 869542 870368 1739084 1740736 3397109 3478168 6794218 6956336 13588436 13912672 27176872 27825344 54353744 108707488 200429431 217414976 400858862 801717724 1603435448 3206870896 6413741792 12827483584