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16728059569 = 13299492
BaseRepresentation
bin11111001010001000…
…11110111010110001
31121011210210110202211
433211010132322301
5233224340401234
611403524212121
71131352105654
oct174504367261
947153713684
1016728059569
11710460a821
1232aa23a041
13176786b300
14b4993189b
1567d8ac164
hex3e511eeb1

16728059569 has 9 divisors (see below), whose sum is σ = 18115636833. Its totient is φ = 15439733712.

The previous prime is 16728059561. The next prime is 16728059587. The reversal of 16728059569 is 96595082761.

The square root of 16728059569 is 129337.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3797640625 + 12930418944 = 61625^2 + 113712^2 .

It is not a de Polignac number, because 16728059569 - 23 = 16728059561 is a prime.

It is a super-2 number, since 2×167280595692 (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 (16728059561) 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 8 ways as a sum of consecutive naturals, for example, 1676407 + ... + 1686355.

It is an arithmetic number, because the mean of its divisors is an integer number (2012848537).

Almost surely, 216728059569 is an apocalyptic number.

16728059569 is the 129337-th square number.

16728059569 is the 64669-th centered octagonal number.

It is an amenable number.

16728059569 is a deficient number, since it is larger than the sum of its proper divisors (1387577264).

16728059569 is an frugal number, since it uses more digits than its factorization.

16728059569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 16728059569 in words is "sixteen billion, seven hundred twenty-eight million, fifty-nine thousand, five hundred sixty-nine".

Divisors: 1 13 169 9949 129337 1681381 98982601 1286773813 16728059569