Search a number
-
+
68668224486480 = 2432595372534009
BaseRepresentation
bin11111001110100000100010…
…01000001011110001010000
3100000010121200122000222112100
433213100101020023301100
533000030010432031410
6402013425152200400
720315054421401253
oct1747202110136120
9300117618028470
1068668224486480
111a975037600363
127850441539100
132c4150274b978
1412d57ba13109a
157e13411788c0
hex3e741120bc50

68668224486480 has 60 divisors (see below), whose sum is σ = 230610787236180. Its totient is φ = 18311526529536.

The previous prime is 68668224486371. The next prime is 68668224486481. The reversal of 68668224486480 is 8468442286686.

68668224486480 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 8 + 22 + 44 + 86 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26274686781456 + 42393537705024 = 5125884^2 + 6511032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×686682244864802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68668224486399 and 68668224486408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68668224486481) 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 11 ways as a sum of consecutive naturals, for example, 47686266285 + ... + 47686267724.

It is an arithmetic number, because the mean of its divisors is an integer number (3843513120603).

Almost surely, 268668224486480 is an apocalyptic number.

68668224486480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68668224486480 is an abundant number, since it is smaller than the sum of its proper divisors (161942562749700).

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

68668224486480 is a wasteful number, since it uses less digits than its factorization.

68668224486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95372534028 (or 95372534019 counting only the distinct ones).

The product of its (nonzero) digits is 1358954496, while the sum is 72.

The spelling of 68668224486480 in words is "sixty-eight trillion, six hundred sixty-eight billion, two hundred twenty-four million, four hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 95372534009 190745068018 286117602027 381490136036 476862670045 572235204054 762980272072 858352806081 953725340090 1144470408108 1430588010135 1525960544144 1716705612162 1907450680180 2288940816216 2861176020270 3433411224324 3814901360360 4291764030405 4577881632432 5722352040540 6866822448648 7629802720720 8583528060810 11444704081080 13733644897296 17167056121620 22889408162160 34334112243240 68668224486480