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16404564345 = 35133110326347
BaseRepresentation
bin11110100011100100…
…11100100101111001
31120100021002012202020
433101302130211321
5232044032024340
611311450425053
71120343332131
oct172162344571
946307065666
1016404564345
116a58a48aa4
123219a32189
131715835210
14b189a3ac1
156602ab9d0
hex3d1c9c979

16404564345 has 64 divisors (see below), whose sum is σ = 29462544384. Its totient is φ = 7739400960.

The previous prime is 16404564313. The next prime is 16404564353. The reversal of 16404564345 is 54346540461.

It is not a de Polignac number, because 16404564345 - 25 = 16404564313 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 16404564297 and 16404564306.

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 63 ways as a sum of consecutive naturals, for example, 609462 + ... + 635808.

It is an arithmetic number, because the mean of its divisors is an integer number (460352256).

Almost surely, 216404564345 is an apocalyptic number.

16404564345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16404564345 is a deficient number, since it is larger than the sum of its proper divisors (13057980039).

16404564345 is a wasteful number, since it uses less digits than its factorization.

16404564345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 16404564345 in words is "sixteen billion, four hundred four million, five hundred sixty-four thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 31 39 65 93 103 155 195 309 403 465 515 1209 1339 1545 2015 3193 4017 6045 6695 9579 15965 20085 26347 41509 47895 79041 124527 131735 207545 342511 395205 622635 816757 1027533 1712555 2450271 2713741 4083785 5137665 8141223 10617841 12251355 13568705 31853523 35278633 40706115 53089205 84125971 105835899 159267615 176393165 252377913 420629855 529179495 1093637623 1261889565 3280912869 5468188115 16404564345