Search a number
-
+
68066746872 = 23331479190997
BaseRepresentation
bin111111011001000110…
…000010000111111000
320111200200121000010220
4333121012002013320
52103400041344442
651134110340040
74626520542105
oct773106020770
9214620530126
1068066746872
11269599a4413
12112374ba620
136559a701a7
143419d73aac
151b85a34eec
hexfd91821f8

68066746872 has 64 divisors (see below), whose sum is σ = 176023756800. Its totient is φ = 21911061120.

The previous prime is 68066746861. The next prime is 68066746877. The reversal of 68066746872 is 27864766086.

68066746872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68066746877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260878 + ... + 451874.

It is an arithmetic number, because the mean of its divisors is an integer number (2750371200).

Almost surely, 268066746872 is an apocalyptic number.

68066746872 is a gapful number since it is divisible by the number (62) 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 68066746872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88011878400).

68066746872 is an abundant number, since it is smaller than the sum of its proper divisors (107957009928).

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

68066746872 is a wasteful number, since it uses less digits than its factorization.

68066746872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191516 (or 191512 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 68066746872 in words is "sixty-eight billion, sixty-six million, seven hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 479 744 958 1437 1916 2874 3832 5748 11496 14849 29698 44547 59396 89094 118792 178188 190997 356376 381994 572991 763988 1145982 1527976 2291964 4583928 5920907 11841814 17762721 23683628 35525442 47367256 71050884 91487563 142101768 182975126 274462689 365950252 548925378 731900504 1097850756 2195701512 2836114453 5672228906 8508343359 11344457812 17016686718 22688915624 34033373436 68066746872