Search a number
-
+
68017421909556 = 22337591524917539
BaseRepresentation
bin11110111011100100010100…
…10001010111111000110100
322220211101212002011121212000
433131302022101113320310
532403344140002101211
6400354434450255300
720220045056642130
oct1735621221277064
9286741762147760
1068017421909556
111a7440325038a9
127766294b87530
132bc50279a8972
1412b20bcb203c0
157ce451280656
hex3ddc8a457e34

68017421909556 has 96 divisors (see below), whose sum is σ = 204948917376000. Its totient is φ = 19104166916064.

The previous prime is 68017421909531. The next prime is 68017421909573. The reversal of 68017421909556 is 65590912471086.

68017421909556 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 74 + 2 + 1 + 9 + 0 + 9 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 68017421909493 and 68017421909502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762414166 + ... + 762503373.

It is an arithmetic number, because the mean of its divisors is an integer number (2134884556000).

Almost surely, 268017421909556 is an apocalyptic number.

It is an amenable number.

68017421909556 is an abundant number, since it is smaller than the sum of its proper divisors (136931495466444).

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

68017421909556 is a wasteful number, since it uses less digits than its factorization.

68017421909556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524917618 (or 1524917610 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 68017421909556 in words is "sixty-eight trillion, seventeen billion, four hundred twenty-one million, nine hundred nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 2124 2478 3186 3717 4956 6372 7434 11151 14868 22302 44604 1524917539 3049835078 4574752617 6099670156 9149505234 10674422773 13724257851 18299010468 21348845546 27448515702 32023268319 41172773553 42697691092 54897031404 64046536638 82345547106 89970134801 96069804957 128093073276 164691094212 179940269602 192139609914 269910404403 288209414871 359880539204 384279219828 539820808806 576418829742 629790943607 809731213209 1079641617612 1152837659484 1259581887214 1619462426418 1889372830821 2429193639627 2519163774428 3238924852836 3778745661642 4858387279254 5668118492463 7557491323284 9716774558508 11336236984926 17004355477389 22672473969852 34008710954778 68017421909556