Search a number
-
+
68617683652500 = 223254172910495897
BaseRepresentation
bin11111001101000010011001…
…01010001100111110010100
322222221210020100112121011100
433212201030222030332110
532443213004003340000
6401534310110510100
720311315111401123
oct1746411452147624
9288853210477140
1068617683652500
111a955661620784
127842697505330
132c3980992a848
1412d3183a59aba
157ded840a1a00
hex3e684ca8cf94

68617683652500 has 720 divisors, whose sum is σ = 237673221786000. Its totient is φ = 16609173504000.

The previous prime is 68617683652499. The next prime is 68617683652543. The reversal of 68617683652500 is 525638671686.

68617683652500 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 7 + 68 + 3 + 65 + 2 + 500 = 666.

68617683652500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 59976165047184 + 8641518605316 = 7744428^2 + 2939646^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11636029552 + ... + 11636035448.

It is an arithmetic number, because the mean of its divisors is an integer number (330101696925).

Almost surely, 268617683652500 is an apocalyptic number.

68617683652500 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 68617683652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118836610893000).

68617683652500 is an abundant number, since it is smaller than the sum of its proper divisors (169055538133500).

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

68617683652500 is a wasteful number, since it uses less digits than its factorization.

68617683652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 68617683652500 in words is "sixty-eight trillion, six hundred seventeen billion, six hundred eighty-three million, six hundred fifty-two thousand, five hundred".