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16565000000 = 26573313
BaseRepresentation
bin11110110110101100…
…11101011101000000
31120202102222012002112
433123112131131000
5232411120000000
611335421234452
71124332114433
oct173326353500
946672865075
1016565000000
11703056874a
123263702a28
13173cb49063
14b3200781a
1566e3ed235
hex3db59d740

16565000000 has 112 divisors (see below), whose sum is σ = 41101261968. Its totient is φ = 6624000000.

The previous prime is 16564999991. The next prime is 16565000003. The reversal of 16565000000 is 56561.

It can be written as a sum of positive squares in 8 ways, for example, as 15603007744 + 961992256 = 124912^2 + 31016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16565000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16565000003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4998344 + ... + 5001656.

Almost surely, 216565000000 is an apocalyptic number.

16565000000 is a gapful number since it is divisible by the number (10) 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 16565000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550630984).

16565000000 is an abundant number, since it is smaller than the sum of its proper divisors (24536261968).

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

16565000000 is an frugal number, since it uses more digits than its factorization.

16565000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 16565000000 its reverse (56561), we get a palindrome (16565056561).

The spelling of 16565000000 in words is "sixteen billion, five hundred sixty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 3313 4000 5000 6250 6626 8000 10000 12500 13252 15625 16565 20000 25000 26504 31250 33130 40000 50000 53008 62500 66260 78125 82825 100000 106016 125000 132520 156250 165650 200000 212032 250000 265040 312500 331300 414125 500000 530080 625000 662600 828250 1000000 1060160 1250000 1325200 1656500 2070625 2500000 2650400 3313000 4141250 5000000 5300800 6626000 8282500 10353125 13252000 16565000 20706250 26504000 33130000 41412500 51765625 66260000 82825000 103531250 132520000 165650000 207062500 258828125 331300000 414125000 517656250 662600000 828250000 1035312500 1656500000 2070625000 3313000000 4141250000 8282500000 16565000000