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16433445249 = 321321921732
BaseRepresentation
bin11110100111000001…
…00111100110000001
31120102021102111220100
433103200213212001
5232123430221444
611314401433013
71121143660044
oct172340474601
946367374810
1016433445249
116a73284711
12322763b769
13171b807a00
14b1c760c5b
15662ab3e69
hex3d3827981

16433445249 has 81 divisors (see below), whose sum is σ = 27285329097. Its totient is φ = 9525252672.

The previous prime is 16433445229. The next prime is 16433445263. The reversal of 16433445249 is 94254433461.

The square root of 16433445249 is 128193.

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

16433445249 is a `hidden beast` number, since 1 + 64 + 3 + 344 + 5 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131262849 + 16302182400 = 11457^2 + 127680^2 .

It is a de Polignac number, because none of the positive numbers 2k-16433445249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16433445229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94990927 + ... + 94991099.

Almost surely, 216433445249 is an apocalyptic number.

16433445249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16433445249 is the 128193-rd square number.

16433445249 is the 64097-th centered octagonal number.

It is an amenable number.

16433445249 is a deficient number, since it is larger than the sum of its proper divisors (10851883848).

16433445249 is a wasteful number, since it uses less digits than its factorization.

16433445249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 16433445249 in words is "sixteen billion, four hundred thirty-three million, four hundred forty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 13 19 39 57 117 169 171 173 247 361 507 519 741 1083 1521 1557 2223 2249 3211 3249 3287 4693 6747 9633 9861 14079 20241 28899 29237 29583 29929 42237 42731 61009 62453 87711 89787 128193 183027 187359 263133 269361 384579 389077 549081 555503 562077 568651 811889 1167231 1666509 1705953 2435667 3501693 4999527 5058001 5117859 7307001 7392463 10554557 10804369 15174003 22177389 31663671 32413107 45522009 66532167 94991013 96102019 97239321 140456797 288306057 421370391 864918171 1264111173 1825938361 5477815083 16433445249