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426805545231 = 3213217194571901
BaseRepresentation
bin1100011010111111001…
…01111100100100001111
31111210122210221011020100
412031133211330210033
523443044204421411
6524023300022143
742556432163442
oct6153745744417
91453583834210
10426805545231
1115500967026a
126a874391953
133132ac56900
141692c267659
15b17ed6c456
hex635f97c90f

426805545231 has 144 divisors (see below), whose sum is σ = 746058587040. Its totient is φ = 233553715200.

The previous prime is 426805545217. The next prime is 426805545233. The reversal of 426805545231 is 132545508624.

426805545231 is a `hidden beast` number, since 4 + 2 + 6 + 80 + 5 + 545 + 23 + 1 = 666.

It is not a de Polignac number, because 426805545231 - 218 = 426805283087 is a prime.

It is a super-2 number, since 2×4268055452312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426805545233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224515381 + ... + 224517281.

It is an arithmetic number, because the mean of its divisors is an integer number (5180962410).

Almost surely, 2426805545231 is an apocalyptic number.

426805545231 is a deficient number, since it is larger than the sum of its proper divisors (319253041809).

426805545231 is a wasteful number, since it uses less digits than its factorization.

426805545231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 426805545231 in words is "four hundred twenty-six billion, eight hundred five million, five hundred forty-five thousand, two hundred thirty-one".

Divisors: 1 3 9 13 17 19 39 51 57 117 153 169 171 221 247 323 457 507 663 741 969 1371 1521 1901 1989 2223 2873 2907 3211 4113 4199 5703 5941 7769 8619 8683 9633 12597 17109 17823 23307 24713 25857 26049 28899 32317 36119 37791 53469 54587 69921 74139 77233 78147 96951 100997 108357 112879 147611 163761 222417 231699 290853 302991 321269 325071 338637 420121 442833 469547 491283 614023 695097 868757 908973 963807 1015911 1260363 1312961 1328499 1408641 1467427 1842069 1918943 2606271 2891421 3781089 3938883 4225923 4402281 5461573 5526207 5756829 6104111 7818813 7982299 11293841 11816649 13206843 14768869 16384719 16506383 17270487 18312333 23946897 24946259 33881523 44306607 49154157 49519149 54936999 71840691 74838777 101644569 103769887 132919821 146819933 148557447 191995297 214582979 224516331 280608511 311309661 440459799 575985891 643748937 841825533 933928983 1321379397 1727957673 1931246811 2495938861 2525476599 2789578727 3647910643 7487816583 8368736181 10943731929 22463449749 25106208543 32831195787 47422838359 142268515077 426805545231