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16509937081 = 112116812
BaseRepresentation
bin11110110000001000…
…11010010110111001
31120121121100200222011
433120010122112321
5232303020441311
611330133125521
71123063102231
oct173004322671
946547320864
1016509937081
11700247a100
1232491898a1
13173160a351
14b28992cc1
15669673321
hex3d811a5b9

16509937081 has 9 divisors (see below), whose sum is σ = 18148839919. Its totient is φ = 15007748800.

The previous prime is 16509937063. The next prime is 16509937111. The reversal of 16509937081 is 18073990561.

The square root of 16509937081 is 128491.

It is a perfect power (a square), and thus also a powerful number.

16509937081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8373897081 + 8136040000 = 91509^2 + 90200^2 .

It is not a de Polignac number, because 16509937081 - 25 = 16509937049 is a prime.

It is a super-2 number, since 2×165099370812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16509937001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1407561 + ... + 1419241.

Almost surely, 216509937081 is an apocalyptic number.

16509937081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16509937081 is the 128491-st square number.

16509937081 is the 64246-th centered octagonal number.

It is an amenable number.

16509937081 is a deficient number, since it is larger than the sum of its proper divisors (1638902838).

16509937081 is an frugal number, since it uses more digits than its factorization.

16509937081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23384 (or 11692 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

Multiplying 16509937081 by its sum of digits (49), we get a square (808986916969 = 8994372).

The spelling of 16509937081 in words is "sixteen billion, five hundred nine million, nine hundred thirty-seven thousand, eighty-one".

Divisors: 1 11 121 11681 128491 1413401 136445761 1500903371 16509937081