Search a number
-
+
85384482975 = 325211231818287
BaseRepresentation
bin100111110000101001…
…1111101000010011111
322011101120222011001100
41033201103331002133
52344331411423400
6103120341444143
76111623062461
oct1174123750237
9264346864040
1085384482975
1133236350910
121466b110653
13808983120c
1441bdd22131
15234b071100
hex13e14fd09f

85384482975 has 144 divisors (see below), whose sum is σ = 175072794624. Its totient is φ = 39375072000.

The previous prime is 85384482961. The next prime is 85384482977. The reversal of 85384482975 is 57928448358.

85384482975 is a `hidden beast` number, since 8 + 5 + 3 + 84 + 482 + 9 + 75 = 666.

It is not a de Polignac number, because 85384482975 - 24 = 85384482959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85384482977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10299282 + ... + 10307568.

It is an arithmetic number, because the mean of its divisors is an integer number (1215783296).

Almost surely, 285384482975 is an apocalyptic number.

85384482975 is an abundant number, since it is smaller than the sum of its proper divisors (89688311649).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85384482975 is a wasteful number, since it uses less digits than its factorization.

85384482975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8510 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 85384482975 in words is "eighty-five billion, three hundred eighty-four million, four hundred eighty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 181 207 225 253 275 345 495 543 575 759 825 905 1035 1265 1629 1725 1991 2277 2475 2715 3795 4163 4525 5175 5973 6325 8145 8287 9955 11385 12489 13575 17919 18975 20815 24861 29865 37467 40725 41435 45793 49775 56925 62445 74583 89595 91157 104075 124305 137379 149325 187335 190601 207175 228965 273471 312225 372915 412137 447975 455785 571803 621525 686895 820413 936675 953005 1144825 1367355 1499947 1715409 1864575 2060685 2096611 2278925 2859015 3434475 4102065 4499841 4765025 6289833 6836775 7499735 8577045 10303425 10483055 13499523 14295075 16499417 18869499 20510325 22499205 31449165 34498781 37498675 42885225 49498251 52415275 67497615 82497085 94347495 103496343 112496025 148494753 157245825 172493905 247491255 310489029 337488075 379486591 412485425 471737475 517481715 742473765 862469525 1138459773 1237456275 1552445145 1897432955 2587408575 3415379319 3712368825 5692298865 7762225725 9487164775 17076896595 28461494325 85384482975