Search a number
-
+
68110908906240 = 2832541415934673
BaseRepresentation
bin11110111110010010011101…
…00001111101101100000000
322221011100011100110010011200
433133021032201331230000
532411412120134444430
6400505415233141200
720226564550206564
oct1737111641755400
9287140140403150
1068110908906240
111a77a746480132
1277804256ba800
132c00aa6063995
1412b682ab936a4
157d1ac37eb460
hex3df24e87db00

68110908906240 has 432 divisors, whose sum is σ = 241469380938240. Its totient is φ = 17715139706880.

The previous prime is 68110908906193. The next prime is 68110908906251. The reversal of 68110908906240 is 4260980901186.

68110908906240 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 0 + 9 + 0 + 8 + 9 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×681109089062402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964361544 + ... + 1964396216.

It is an arithmetic number, because the mean of its divisors is an integer number (558956900320).

Almost surely, 268110908906240 is an apocalyptic number.

68110908906240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68110908906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120734690469120).

68110908906240 is an abundant number, since it is smaller than the sum of its proper divisors (173358472032000).

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

68110908906240 is a wasteful number, since it uses less digits than its factorization.

68110908906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38900 (or 38883 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 68110908906240 in words is "sixty-eight trillion, one hundred ten billion, nine hundred eight million, nine hundred six thousand, two hundred forty".