Search a number
-
+
68728086000 = 24325372292687
BaseRepresentation
bin100000000000010000…
…0110101110111110000
320120101210000111212200
41000000200311313300
52111223342223000
651323453223200
74652101043400
oct1000040656760
9216353014780
1068728086000
1127169238282
12113a0a91b00
136633a94412
14347db26800
151bc3b1c500
hex1000835df0

68728086000 has 720 divisors, whose sum is σ = 288971504640. Its totient is φ = 15161932800.

The previous prime is 68728085989. The next prime is 68728086017. The reversal of 68728086000 is 68082786.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25576657 + ... + 25579343.

It is an arithmetic number, because the mean of its divisors is an integer number (401349312).

Almost surely, 268728086000 is an apocalyptic number.

68728086000 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 68728086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144485752320).

68728086000 is an abundant number, since it is smaller than the sum of its proper divisors (220243418640).

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

68728086000 is a wasteful number, since it uses less digits than its factorization.

68728086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 68728086000 in words is "sixty-eight billion, seven hundred twenty-eight million, eighty-six thousand".