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10327114880 = 27516136117
BaseRepresentation
bin10011001111000101…
…10100010010000000
3222122201021210101022
421213202310102000
5132122220134010
64424425525012
7513626012435
oct114742642200
928581253338
1010327114880
11441a429295
122002643768
13c876bcc84
146dd793b8c
15406975d55
hex2678b4480

10327114880 has 32 divisors (see below), whose sum is σ = 24688260540. Its totient is φ = 4130845696.

The previous prime is 10327114843. The next prime is 10327114907. The reversal of 10327114880 is 8841172301.

It can be written as a sum of positive squares in 2 ways, for example, as 10294943296 + 32171584 = 101464^2 + 5672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10327114880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8067419 + ... + 8068698.

Almost surely, 210327114880 is an apocalyptic number.

10327114880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10327114880 is an abundant number, since it is smaller than the sum of its proper divisors (14361145660).

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

10327114880 is an equidigital number, since it uses as much as digits as its factorization.

10327114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136136 (or 16136124 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 10327114880 in words is "ten billion, three hundred twenty-seven million, one hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 16136117 32272234 64544468 80680585 129088936 161361170 258177872 322722340 516355744 645444680 1032711488 1290889360 2065422976 2581778720 5163557440 10327114880