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84424566480 = 24353710788853
BaseRepresentation
bin100111010100000011…
…0001010011011010000
322001220200201100011120
41032220012022123100
52340400142111410
6102441211242240
76046055655222
oct1165006123320
9261820640146
1084424566480
11328935153a1
1214441749380
137c659b98a7
14412c64a412
1522e1b5b570
hex13a818a6d0

84424566480 has 160 divisors (see below), whose sum is σ = 271304671104. Its totient is φ = 21699790848.

The previous prime is 84424566469. The next prime is 84424566481. The reversal of 84424566480 is 8466542448.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84424566481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905734 + ... + 994586.

Almost surely, 284424566480 is an apocalyptic number.

84424566480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84424566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135652335552).

84424566480 is an abundant number, since it is smaller than the sum of its proper divisors (186880104624).

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

84424566480 is a wasteful number, since it uses less digits than its factorization.

84424566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89013 (or 89007 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 84424566480 in words is "eighty-four billion, four hundred twenty-four million, five hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 107 111 120 148 185 214 222 240 296 321 370 428 444 535 555 592 642 740 856 888 1070 1110 1284 1480 1605 1712 1776 2140 2220 2568 2960 3210 3959 4280 4440 5136 6420 7918 8560 8880 11877 12840 15836 19795 23754 25680 31672 39590 47508 59385 63344 79180 88853 95016 118770 158360 177706 190032 237540 266559 316720 355412 444265 475080 533118 710824 888530 950160 1066236 1332795 1421648 1777060 2132472 2665590 3287561 3554120 4264944 5331180 6575122 7108240 9507271 9862683 10662360 13150244 16437805 19014542 19725366 21324720 26300488 28521813 32875610 38029084 39450732 47536355 49313415 52600976 57043626 65751220 76058168 78901464 95072710 98626830 114087252 131502440 142609065 152116336 157802928 190145420 197253660 228174504 263004880 285218130 351769027 380290840 394507320 456349008 570436260 703538054 760581680 789014640 1055307081 1140872520 1407076108 1758845135 2110614162 2281745040 2814152216 3517690270 4221228324 5276535405 5628304432 7035380540 8442456648 10553070810 14070761080 16884913296 21106141620 28141522160 42212283240 84424566480