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426856316414385 = 3511213150171204699
BaseRepresentation
bin110000100001110010011101…
…1000111000010100110110001
32001222101001202121200011220210
41201003210323013002212301
5421422103214000230020
64111503030140454333
7155624231305624464
oct14103447307024661
92058331677604823
10426856316414385
11114011824549500
123ba5b74484a3a9
13154244bb3a0860
147759d551a32db
1534537a43be3e0
hex184393b1c29b1

426856316414385 has 96 divisors (see below), whose sum is σ = 808503545404800. Its totient is φ = 191027708974080.

The previous prime is 426856316414371. The next prime is 426856316414387. The reversal of 426856316414385 is 583414613658624.

It is not a de Polignac number, because 426856316414385 - 219 = 426856315890097 is a prime.

It is a super-3 number, since 3×4268563164143853 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (426856316414387) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353723766 + ... + 354928464.

It is an arithmetic number, because the mean of its divisors is an integer number (8421911931300).

Almost surely, 2426856316414385 is an apocalyptic number.

It is an amenable number.

426856316414385 is a deficient number, since it is larger than the sum of its proper divisors (381647228990415).

426856316414385 is a wasteful number, since it uses less digits than its factorization.

426856316414385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219759 (or 1219748 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 66.

The spelling of 426856316414385 in words is "four hundred twenty-six trillion, eight hundred fifty-six billion, three hundred sixteen million, four hundred fourteen thousand, three hundred eighty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 363 429 605 715 1573 1815 2145 4719 7865 15017 23595 45051 75085 165187 195221 225255 495561 585663 825935 976105 1204699 1817057 2147431 2477805 2928315 3614097 5451171 6023495 6442293 9085285 10737155 13251689 15661087 18070485 23621741 27255855 32211465 39755067 46983261 66258445 70865223 78305435 118108705 145768579 172271957 198775335 234916305 354326115 437305737 516815871 728842895 861359785 1894991527 2186528685 2584079355 5684974581 9474957635 18090964883 28424872905 54272894649 90454824415 199000613713 235182543479 271364473245 597001841139 705547630437 995003068565 1175912717395 2189006750843 2587007978269 2985009205695 3527738152185 6567020252529 7761023934807 10945033754215 12935039891345 28457087760959 32835101262645 38805119674035 85371263282877 142285438804795 426856316414385