Search a number
-
+
18042880149 = 32719294711059
BaseRepresentation
bin10000110011011100…
…001000000010010101
31201120102212021112100
4100303130020002111
5243422434131044
612142213312313
71206055644060
oct206334100225
951512767470
1018042880149
11771980a9a8
1235b6635699
131917095058
14c323cd8d7
15709028869
hex433708095

18042880149 has 96 divisors (see below), whose sum is σ = 33126912000. Its totient is φ = 9229272192.

The previous prime is 18042880117. The next prime is 18042880169. The reversal of 18042880149 is 94108824081.

18042880149 is a `hidden beast` number, since 1 + 8 + 0 + 428 + 80 + 149 = 666.

It is not a de Polignac number, because 18042880149 - 25 = 18042880117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18042880169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1625982 + ... + 1637040.

It is an arithmetic number, because the mean of its divisors is an integer number (345072000).

Almost surely, 218042880149 is an apocalyptic number.

18042880149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

18042880149 is a deficient number, since it is larger than the sum of its proper divisors (15084031851).

18042880149 is a wasteful number, since it uses less digits than its factorization.

18042880149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18042880149 in words is "eighteen billion, forty-two million, eight hundred eighty thousand, one hundred forty-nine".

Divisors: 1 3 7 9 19 21 29 47 57 63 87 133 141 171 203 261 329 399 423 551 609 893 987 1197 1363 1653 1827 2679 2961 3857 4089 4959 6251 8037 9541 11059 11571 12267 18753 25897 28623 33177 34713 56259 77413 77691 85869 99531 181279 210121 232239 233073 320711 519773 543837 630363 696717 962133 1470847 1559319 1631511 1891089 2244977 2886399 3638411 4412541 4677957 6093509 6734931 9875687 10915233 13237623 15073417 18280527 20204793 29627061 32745699 42654563 45220251 54841581 69129809 88881183 105513919 127963689 135660753 207389427 286394923 316541757 383891067 622168281 859184769 949625271 2004764461 2577554307 6014293383 18042880149