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5285658384 = 2432374323071
BaseRepresentation
bin1001110110000110…
…01011111100010000
3111122100220021012100
410323003023330100
541311112032014
62232254000400
7244661232516
oct47303137420
914570807170
105285658384
112272686416
1210361a6100
136630a7916
14381dc04b6
1520e081009
hex13b0cbf10

5285658384 has 120 divisors (see below), whose sum is σ = 15546282752. Its totient is φ = 1674328320.

The previous prime is 5285658353. The next prime is 5285658419. The reversal of 5285658384 is 4838565825.

5285658384 is a `hidden beast` number, since 5 + 2 + 8 + 56 + 583 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5285658384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217569 + ... + 240639.

Almost surely, 25285658384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5285658384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773141376).

5285658384 is an abundant number, since it is smaller than the sum of its proper divisors (10260624368).

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

5285658384 is a wasteful number, since it uses less digits than its factorization.

5285658384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23165 (or 23156 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The square root of 5285658384 is about 72702.5335459501. The cubic root of 5285658384 is about 1741.9393517243.

The spelling of 5285658384 in words is "five billion, two hundred eighty-five million, six hundred fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 43 48 72 74 86 111 129 144 148 172 222 258 296 333 344 387 444 516 592 666 688 774 888 1032 1332 1548 1591 1776 2064 2664 3096 3182 4773 5328 6192 6364 9546 12728 14319 19092 23071 25456 28638 38184 46142 57276 69213 76368 92284 114552 138426 184568 207639 229104 276852 369136 415278 553704 830556 853627 992053 1107408 1661112 1707254 1984106 2560881 2976159 3322224 3414508 3968212 5121762 5952318 6829016 7682643 7936424 8928477 10243524 11904636 13658032 15365286 15872848 17856954 20487048 23809272 30730572 35713908 36705961 40974096 47618544 61461144 71427816 73411922 110117883 122922288 142855632 146823844 220235766 293647688 330353649 440471532 587295376 660707298 880943064 1321414596 1761886128 2642829192 5285658384