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868471468065 = 3251721916132179
BaseRepresentation
bin11001010001101001110…
…11101111000000100001
310002000200021021201020100
430220310323233000201
5103212112143434230
61502545325333013
7116513350451235
oct14506473570041
93060607251210
10868471468065
11305353559133
12120395407169
1363b86822056
1430069d6c5c5
15178ce61e660
hexca34eef021

868471468065 has 144 divisors (see below), whose sum is σ = 1685089598400. Its totient is φ = 412549023744.

The previous prime is 868471468063. The next prime is 868471468093. The reversal of 868471468065 is 560864174868.

868471468065 is a `hidden beast` number, since 8 + 68 + 471 + 46 + 8 + 0 + 65 = 666.

It is not a de Polignac number, because 868471468065 - 21 = 868471468063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 868471467993 and 868471468011.

It is not an unprimeable number, because it can be changed into a prime (868471468063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398563146 + ... + 398565324.

It is an arithmetic number, because the mean of its divisors is an integer number (11702011100).

Almost surely, 2868471468065 is an apocalyptic number.

868471468065 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

868471468065 is a deficient number, since it is larger than the sum of its proper divisors (816618130335).

868471468065 is a wasteful number, since it uses less digits than its factorization.

868471468065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 868471468065 in words is "eight hundred sixty-eight billion, four hundred seventy-one million, four hundred sixty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 17 19 45 51 57 85 95 153 171 255 285 289 323 765 855 867 969 1445 1613 1615 2179 2601 2907 4335 4839 4845 5491 6537 8065 10895 13005 14517 14535 16473 19611 24195 27421 27455 30647 32685 37043 41401 49419 72585 82263 82365 91941 98055 111129 124203 137105 153235 185215 207005 246789 247095 275823 333387 372609 411315 459705 466157 520999 555645 621015 629731 703817 1233945 1379115 1398471 1562997 1666935 1863045 1889193 2111451 2330785 2604995 3148655 3514727 3519085 4195413 4688991 5667579 6334353 6992355 7814985 8856983 9445965 10544181 10557255 11964889 17573635 20977065 23444955 26570949 28337895 31632543 31671765 35894667 44284915 52720905 59750359 59824445 66779813 79712847 107684001 132854745 158162715 179251077 179473335 200339439 298751795 333899065 398564235 537753231 538420005 601018317 896255385 1001697195 1015756103 1135256821 2688766155 3005091585 3047268309 3405770463 5078780515 5676284105 9141804927 10217311389 15236341545 17028852315 19299365957 45709024635 51086556945 57898097871 96496829785 173694293613 289490489355 868471468065