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16431504513 = 3172192471117
BaseRepresentation
bin11110100110110010…
…01101110010000001
31120102010202220201020
433103121031302001
5232122431121023
611314252100053
71121121324654
oct172331156201
946363686636
1016431504513
116a721795a6
123226a64629
13171b2a8548
14b1c3b789b
1566282dde3
hex3d364dc81

16431504513 has 72 divisors (see below), whose sum is σ = 25107668352. Its totient is φ = 9550960128.

The previous prime is 16431504499. The next prime is 16431504517. The reversal of 16431504513 is 31540513461.

It is a happy number.

16431504513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16431504513 - 210 = 16431503489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16431504517) 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 71 ways as a sum of consecutive naturals, for example, 14709831 + ... + 14710947.

It is an arithmetic number, because the mean of its divisors is an integer number (348717616).

Almost surely, 216431504513 is an apocalyptic number.

It is an amenable number.

16431504513 is a deficient number, since it is larger than the sum of its proper divisors (8676163839).

16431504513 is a wasteful number, since it uses less digits than its factorization.

16431504513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 16431504513 in words is "sixteen billion, four hundred thirty-one million, five hundred four thousand, five hundred thirteen".

Divisors: 1 3 17 19 47 51 57 141 289 323 361 799 867 893 969 1083 1117 2397 2679 3351 5491 6137 13583 15181 16473 16967 18411 18989 21223 40749 45543 50901 52499 56967 63669 104329 157497 258077 288439 312987 322813 360791 403237 774231 865317 892483 968439 997481 1082373 1209711 2677449 2992443 4903463 6133447 6855029 14710389 15172211 16957177 18400341 18952139 20565087 45516633 50871531 56856417 116535493 288272009 322186363 349606479 864816027 966559089 5477168171 16431504513