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86544341136 = 2435112023577
BaseRepresentation
bin101000010011001110…
…0011101100010010000
322021101102110001100000
41100212130131202100
52404220322404021
6103431413330000
76152435522241
oct1204634354220
9267342401300
1086544341136
113378102a480
1214933636900
138212c0c416
14428dda2cc8
1523b7cccb26
hex142671d890

86544341136 has 120 divisors (see below), whose sum is σ = 274008649824. Its totient is φ = 26225544960.

The previous prime is 86544341083. The next prime is 86544341153. The reversal of 86544341136 is 63114344568.

86544341136 is a `hidden beast` number, since 86 + 5 + 4 + 434 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86544341091 and 86544341100.

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, 969021 + ... + 1054556.

Almost surely, 286544341136 is an apocalyptic number.

It is an amenable number.

86544341136 is an abundant number, since it is smaller than the sum of its proper divisors (187464308688).

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

86544341136 is a wasteful number, since it uses less digits than its factorization.

86544341136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023611 (or 2023593 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 86544341136 in words is "eighty-six billion, five hundred forty-four million, three hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 2023577 4047154 6070731 8094308 12141462 16188616 18212193 22259347 24282924 32377232 36424386 44518694 48565848 54636579 66778041 72848772 89037388 97131696 109273158 133556082 145697544 163909737 178074776 200334123 218546316 267112164 291395088 327819474 356149552 400668246 437092632 491729211 534224328 601002369 655638948 801336492 874185264 983458422 1068448656 1202004738 1311277896 1602672984 1803007107 1966916844 2404009476 2622555792 3205345968 3606014214 3933833688 4808018952 5409021321 7212028428 7867667376 9616037904 10818042642 14424056856 21636085284 28848113712 43272170568 86544341136