Search a number
-
+
66668888890000 = 245418313641119
BaseRepresentation
bin11110010100010100011110…
…11100001001101010010000
322202001111001111101022212001
433022022033130021222100
532214300341023440000
6353443133103443344
720020445134256545
oct1712121734115220
9282044044338761
1066668888890000
111a2741317a67a1
127588a63bb6554
132b27b06a42597
141266b119d0bcc
157a932668b46a
hex3ca28f709a90

66668888890000 has 100 divisors (see below), whose sum is σ = 161500246378240. Its totient is φ = 26652983760000.

The previous prime is 66668888889991. The next prime is 66668888890001. The reversal of 66668888890000 is 9888886666.

It is a tau number, because it is divible by the number of its divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 66668888889896 and 66668888889905.

It is not an unprimeable number, because it can be changed into a prime (66668888890001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16489441 + ... + 20130559.

Almost surely, 266668888890000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66668888890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80750123189120).

66668888890000 is an abundant number, since it is smaller than the sum of its proper divisors (94831357488240).

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

66668888890000 is a wasteful number, since it uses less digits than its factorization.

66668888890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642978 (or 3642957 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 73.

The spelling of 66668888890000 in words is "sixty-six trillion, six hundred sixty-eight billion, eight hundred eighty-eight million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1831 2000 2500 3662 5000 7324 9155 10000 14648 18310 29296 36620 45775 73240 91550 146480 183100 228875 366200 457750 732400 915500 1144375 1831000 2288750 3641119 3662000 4577500 7282238 9155000 14564476 18205595 18310000 29128952 36411190 58257904 72822380 91027975 145644760 182055950 291289520 364111900 455139875 728223800 910279750 1456447600 1820559500 2275699375 3641119000 4551398750 6666888889 7282238000 9102797500 13333777778 18205595000 26667555556 33334444445 36411190000 53335111112 66668888890 106670222224 133337777780 166672222225 266675555560 333344444450 533351111120 666688888900 833361111125 1333377777800 1666722222250 2666755555600 3333444444500 4166805555625 6666888889000 8333611111250 13333777778000 16667222222500 33334444445000 66668888890000