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16435306053 = 341731521739
BaseRepresentation
bin11110100111001111…
…01101111001000101
31120102101221001110000
433103213231321011
5232124414243203
611314505351513
71121165540115
oct172347557105
946371831400
1016435306053
116a74335771
123228198599
13171c00998a
14b1cac7045
15662d304a3
hex3d39ede45

16435306053 has 80 divisors (see below), whose sum is σ = 26922170880. Its totient is φ = 9947059200.

The previous prime is 16435306051. The next prime is 16435306073. The reversal of 16435306053 is 35060353461.

16435306053 is a `hidden beast` number, since 1 + 6 + 43 + 5 + 3 + 0 + 605 + 3 = 666.

It is not a de Polignac number, because 16435306053 - 21 = 16435306051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16435305999 and 16435306017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16435306051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22239558 + ... + 22240296.

It is an arithmetic number, because the mean of its divisors is an integer number (336527136).

Almost surely, 216435306053 is an apocalyptic number.

It is an amenable number.

16435306053 is a deficient number, since it is larger than the sum of its proper divisors (10486864827).

16435306053 is a wasteful number, since it uses less digits than its factorization.

16435306053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 16435306053 in words is "sixteen billion, four hundred thirty-five million, three hundred six thousand, fifty-three".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 521 527 739 837 1377 1563 1581 2217 2511 4689 4743 6651 8857 12563 14067 14229 16151 19953 22909 26571 37689 42201 42687 48453 59859 68727 79713 113067 145359 206181 239139 274567 339201 385019 389453 436077 618543 717417 823701 1017603 1155057 1168359 1308231 1855629 2471103 3465171 3505077 6545323 7413309 10395513 10515231 11935589 19635969 22239927 31186539 31545693 35806767 58907907 107420301 176723721 202905013 322260903 530171163 608715039 966782709 1826145117 5478435351 16435306053