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16499916304 = 2417218892
BaseRepresentation
bin11110101110111100…
…01011111000010000
31120120220111121001021
433113132023320100
5232242434310204
611325134245224
71122611655154
oct172736137020
946526447037
1016499916304
116aa7855373
123245956814
13172c50c1b1
14b27505064
15668844154
hex3d778be10

16499916304 has 45 divisors (see below), whose sum is σ = 33977698087. Its totient is φ = 7760556032.

The previous prime is 16499916289. The next prime is 16499916317. The reversal of 16499916304 is 40361999461.

The square root of 16499916304 is 128452.

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 1234819600 + 15265096704 = 35140^2 + 123552^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 8733792 + ... + 8735680.

Almost surely, 216499916304 is an apocalyptic number.

16499916304 is the 128452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16499916304

16499916304 is an abundant number, since it is smaller than the sum of its proper divisors (17477781783).

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

16499916304 is an frugal number, since it uses more digits than its factorization.

16499916304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 16499916304 in words is "sixteen billion, four hundred ninety-nine million, nine hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1889 2312 3778 4624 7556 15112 30224 32113 64226 128452 256904 513808 545921 1091842 2183684 3568321 4367368 7136642 8734736 14273284 28546568 57093136 60661457 121322914 242645828 485291656 970583312 1031244769 2062489538 4124979076 8249958152 16499916304