Search a number
-
+
86193923472 = 2435191166801
BaseRepresentation
bin101000001000110001…
…1101110010110010000
322020111000001222200000
41100101203232112100
52403011121022342
6103332534530000
76140652155346
oct1202143562620
9266430058600
1086193923472
113361124a4a8
1214856206900
13818843b0a7
144259627996
15239716044c
hex14118ee590

86193923472 has 120 divisors (see below), whose sum is σ = 263323875360. Its totient is φ = 27219110400.

The previous prime is 86193923461. The next prime is 86193923513. The reversal of 86193923472 is 27432939168.

86193923472 is a `hidden beast` number, since 8 + 61 + 93 + 9 + 23 + 472 = 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 23 ways as a sum of consecutive naturals, for example, 509529 + ... + 657272.

It is an arithmetic number, because the mean of its divisors is an integer number (2194365628).

Almost surely, 286193923472 is an apocalyptic number.

It is an amenable number.

86193923472 is an abundant number, since it is smaller than the sum of its proper divisors (177129951888).

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

86193923472 is a wasteful number, since it uses less digits than its factorization.

86193923472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166843 (or 1166825 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 86193923472 in words is "eighty-six billion, one hundred ninety-three million, nine hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 73872 1166801 2333602 3500403 4667204 7000806 9334408 10501209 14001612 18668816 21002418 22169219 28003224 31503627 42004836 44338438 56006448 63007254 66507657 84009672 88676876 94510881 126014508 133015314 168019344 177353752 189021762 199522971 252029016 266030628 283532643 354707504 378043524 399045942 504058032 532061256 567065286 598568913 756087048 798091884 1064122512 1134130572 1197137826 1512174096 1596183768 1795706739 2268261144 2394275652 3192367536 3591413478 4536522288 4788551304 5387120217 7182826956 9577102608 10774240434 14365653912 21548480868 28731307824 43096961736 86193923472