Search a number
-
+
68751029760 = 29357326099
BaseRepresentation
bin100000000000111100…
…0010111011000000000
320120110101012011210120
41000001320113120000
52111300230423020
651330033100240
74652500053000
oct1000170273000
9216411164716
1068751029760
1127180189266
12113a86b7680
1366387686ca
143482bba000
151bc5b50740
hex1001e17600

68751029760 has 320 divisors, whose sum is σ = 256322880000. Its totient is φ = 15713918976.

The previous prime is 68751029759. The next prime is 68751029779. The reversal of 68751029760 is 6792015786.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621191 + ... + 2647289.

It is an arithmetic number, because the mean of its divisors is an integer number (801009000).

Almost surely, 268751029760 is an apocalyptic number.

68751029760 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 68751029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440000).

68751029760 is an abundant number, since it is smaller than the sum of its proper divisors (187571850240).

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

68751029760 is an equidigital number, since it uses as much as digits as its factorization.

68751029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26146 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 68751029760 in words is "sixty-eight billion, seven hundred fifty-one million, twenty-nine thousand, seven hundred sixty".