Search a number
-
+
68675441760 = 2534526919699
BaseRepresentation
bin111111111101011000…
…000001010001100000
320120021002221220120000
4333331120001101200
52111121403114020
651314333020000
74650561423552
oct777530012140
9216232856500
1068675441760
1127141550942
1211387324600
136625bc1593
143476b414d2
151bbe1be090
hexffd601460

68675441760 has 240 divisors, whose sum is σ = 243280422000. Its totient is φ = 18244445184.

The previous prime is 68675441759. The next prime is 68675441767. The reversal of 68675441760 is 6714457686.

68675441760 is a `hidden beast` number, since 6 + 86 + 7 + 544 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68675441697 and 68675441706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68675441767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3476391 + ... + 3496089.

It is an arithmetic number, because the mean of its divisors is an integer number (1013668425).

Almost surely, 268675441760 is an apocalyptic number.

68675441760 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 68675441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121640211000).

68675441760 is an abundant number, since it is smaller than the sum of its proper divisors (174604980240).

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

68675441760 is a wasteful number, since it uses less digits than its factorization.

68675441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 68675441760 in words is "sixty-eight billion, six hundred seventy-five million, four hundred forty-one thousand, seven hundred sixty".