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5816109312 = 2833133383
BaseRepresentation
bin1010110101010101…
…01100100100000000
3120000100000222002000
411122222230210000
543402410444222
62401043224000
7264062053626
oct53252544400
916010028060
105816109312
112515051012
121163978000
13718c62000
143d2621516
152409119ac
hex15aaac900

5816109312 has 288 divisors, whose sum is σ = 18680524800. Its totient is φ = 1784899584.

The previous prime is 5816109301. The next prime is 5816109331. The reversal of 5816109312 is 2139016185.

5816109312 is a `hidden beast` number, since 5 + 8 + 1 + 610 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×58161093122 = 67654255058266226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 15185473 + ... + 15185855.

Almost surely, 25816109312 is an apocalyptic number.

5816109312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5816109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340262400).

5816109312 is an abundant number, since it is smaller than the sum of its proper divisors (12864415488).

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

5816109312 is an equidigital number, since it uses as much as digits as its factorization.

5816109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5816109312 is about 76263.4205369783. The cubic root of 5816109312 is about 1798.3636684614.

The spelling of 5816109312 in words is "five billion, eight hundred sixteen million, one hundred nine thousand, three hundred twelve".