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83424252384 = 253211231144931
BaseRepresentation
bin100110110110001111…
…0010001000111100000
321222022222110010012100
41031230132101013200
52331323102034014
6102154035130400
76012221305464
oct1155436210740
9258288403170
1083424252384
113241a8a7630
1214202743a00
137b3669c765
14407585a4a4
152283e17009
hex136c7911e0

83424252384 has 144 divisors (see below), whose sum is σ = 270057400704. Its totient is φ = 24180921600.

The previous prime is 83424252377. The next prime is 83424252391. The reversal of 83424252384 is 48325242438.

83424252384 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 42 + 523 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (83424252377) and next prime (83424252391).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499602 + ... + 645329.

It is an arithmetic number, because the mean of its divisors is an integer number (1875398616).

Almost surely, 283424252384 is an apocalyptic number.

It is an amenable number.

83424252384 is an abundant number, since it is smaller than the sum of its proper divisors (186633148320).

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

83424252384 is a wasteful number, since it uses less digits than its factorization.

83424252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144981 (or 1144970 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 83424252384 in words is "eighty-three billion, four hundred twenty-four million, two hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3168 3312 4048 4554 6072 6624 8096 9108 12144 18216 24288 36432 72864 1144931 2289862 3434793 4579724 6869586 9159448 10304379 12594241 13739172 18318896 20608758 25188482 26333413 27478344 36637792 37782723 41217516 50376964 52666826 54956688 75565446 79000239 82435032 100753928 105333652 109913376 113348169 151130892 158000478 164870064 201507856 210667304 226696338 237000717 289667543 302261784 316000956 329740128 403015712 421334608 453392676 474001434 579335086 604523568 632001912 842669216 869002629 906785352 948002868 1158670172 1209047136 1264003824 1738005258 1813570704 1896005736 2317340344 2528007648 2607007887 3476010516 3627141408 3792011472 4634680688 5214015774 6952021032 7584022944 9269361376 10428031548 13904042064 20856063096 27808084128 41712126192 83424252384