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1668430355508 = 2232721815225537
BaseRepresentation
bin11000010001110110001…
…100101101110000110100
312220111111210001201101200
4120101312030231300310
5204313421132334013
63314244420452500
7231353155012500
oct30216614556064
95814453051350
101668430355508
11593639492404
1222b429b4a130
13c1442105667
145aa76a71300
152d5ededee73
hex1847632dc34

1668430355508 has 108 divisors (see below), whose sum is σ = 4933085540292. Its totient is φ = 474060625920.

The previous prime is 1668430355429. The next prime is 1668430355509. The reversal of 1668430355508 is 8055530348661.

It is a happy number.

1668430355508 is a `hidden beast` number, since 1 + 6 + 6 + 84 + 3 + 0 + 3 + 5 + 550 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69591495204 + 1598838860304 = 263802^2 + 1264452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668430355509) 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 35 ways as a sum of consecutive naturals, for example, 2293485 + ... + 2932052.

Almost surely, 21668430355508 is an apocalyptic number.

1668430355508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1668430355508 is an abundant number, since it is smaller than the sum of its proper divisors (3264655184784).

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

1668430355508 is a wasteful number, since it uses less digits than its factorization.

1668430355508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225742 (or 5225730 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 1668430355508 in words is "one trillion, six hundred sixty-eight billion, four hundred thirty million, three hundred fifty-five thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 181 196 252 294 362 441 543 588 724 882 1086 1267 1629 1764 2172 2534 3258 3801 5068 6516 7602 8869 11403 15204 17738 22806 26607 35476 45612 53214 79821 106428 159642 319284 5225537 10451074 15676611 20902148 31353222 36578759 47029833 62706444 73157518 94059666 109736277 146315036 188119332 219472554 256051313 329208831 438945108 512102626 658417662 768153939 945822197 1024205252 1316835324 1536307878 1891644394 2304461817 2837466591 3072615756 3783288788 4608923634 5674933182 6620755379 8512399773 9217847268 11349866364 13241510758 17024799546 19862266137 26483021516 34049599092 39724532274 46345287653 59586798411 79449064548 92690575306 119173596822 139035862959 185381150612 238347193644 278071725918 417107588877 556143451836 834215177754 1668430355508