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5184086413824 = 29332287163973
BaseRepresentation
bin100101101110000001110…
…1000010001001000000000
3200100121000220011212121000
41023130003220101020000
51134414002110220244
615005311511132000
71043352331314153
oct113340350211000
920317026155530
105184086413824
1117196166a494a
126b8864074000
132b7b1b4c4a56
1413cca818bc9a
158ecb3a6e169
hex4b703a11200

5184086413824 has 160 divisors (see below), whose sum is σ = 15352059191040. Its totient is φ = 1727262683136.

The previous prime is 5184086413799. The next prime is 5184086413873. The reversal of 5184086413824 is 4283146804815.

5184086413824 is a `hidden beast` number, since 5 + 184 + 0 + 86 + 4 + 1 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31533502 + ... + 31697474.

It is an arithmetic number, because the mean of its divisors is an integer number (95950369944).

Almost surely, 25184086413824 is an apocalyptic number.

5184086413824 is a gapful number since it is divisible by the number (54) 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 5184086413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676029595520).

5184086413824 is an abundant number, since it is smaller than the sum of its proper divisors (10167972777216).

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

5184086413824 is a wasteful number, since it uses less digits than its factorization.

5184086413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166287 (or 166265 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 5184086413824 in words is "five trillion, one hundred eighty-four billion, eighty-six million, four hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2287 2304 3456 4574 4608 6861 6912 9148 13722 13824 18296 20583 27444 36592 41166 54888 61749 73184 82332 109776 123498 146368 163973 164664 219552 246996 292736 327946 329328 439104 491919 493992 585472 655892 658656 878208 983838 987984 1170944 1311784 1317312 1475757 1756416 1967676 1975968 2623568 2634624 2951514 3512832 3935352 3951936 4427271 5247136 5269248 5903028 7870704 7903872 8854542 10494272 10538496 11806056 15741408 15807744 17709084 20988544 23612112 31482816 31615488 35418168 41977088 47224224 62965632 70836336 83954176 94448448 125931264 141672672 188896896 251862528 283345344 375006251 377793792 566690688 750012502 755587584 1125018753 1133381376 1500025004 2250037506 2266762752 3000050008 3375056259 4500075012 6000100016 6750112518 9000150024 10125168777 12000200032 13500225036 18000300048 20250337554 24000400064 27000450072 36000600096 40500675108 48000800128 54000900144 72001200192 81001350216 96001600256 108001800288 144002400384 162002700432 192003200512 216003600576 288004800768 324005400864 432007201152 576009601536 648010801728 864014402304 1296021603456 1728028804608 2592043206912 5184086413824