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10813678785 = 3257132712861
BaseRepresentation
bin10100001001000101…
…11010010011000001
31000220121211210120200
422010202322103001
5134121300210120
64545010355413
7531654516210
oct120442722301
930817753520
1010813678785
11464a048a18
12211958bb69
13103444c500
1474824d077
15434537e90
hex2848ba4c1

10813678785 has 144 divisors (see below), whose sum is σ = 23530860288. Its totient is φ = 4497292800.

The previous prime is 10813678763. The next prime is 10813678789. The reversal of 10813678785 is 58787631801.

It is a happy number.

It is not a de Polignac number, because 10813678785 - 210 = 10813677761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10813678789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3778255 + ... + 3781115.

It is an arithmetic number, because the mean of its divisors is an integer number (163408752).

Almost surely, 210813678785 is an apocalyptic number.

10813678785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10813678785 is an abundant number, since it is smaller than the sum of its proper divisors (12717181503).

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

10813678785 is a wasteful number, since it uses less digits than its factorization.

10813678785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10813678785 in words is "ten billion, eight hundred thirteen million, six hundred seventy-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 71 91 105 117 169 195 213 273 315 355 455 497 507 585 639 819 845 923 1065 1183 1365 1491 1521 2485 2535 2769 2861 3195 3549 4095 4473 4615 5915 6461 7455 7605 8307 8583 10647 11999 13845 14305 17745 19383 20027 22365 25749 32305 35997 37193 41535 42915 53235 58149 59995 60081 83993 96915 100135 107991 111579 128745 179985 180243 185965 203131 251979 260351 290745 300405 334737 419965 483509 539955 557895 609393 755937 781053 901215 1015655 1259895 1301755 1421917 1450527 1673685 1828179 2343159 2417545 2640703 3046965 3384563 3779685 3905265 4265751 4351581 7109585 7252635 7922109 9140895 10153689 11715795 12797253 13203515 16922815 18484921 21328755 21757905 23766327 30461067 34329139 39610545 50768445 55454763 63986265 92424605 102987417 118831635 152305335 166364289 171645695 240303973 277273815 308962251 514937085 720911919 831821445 1201519865 1544811255 2162735757 3604559595 10813678785