Search a number
-
+
68847979200 = 263527211132389
BaseRepresentation
bin100000000011110101…
…0001100101011000000
320120201010121201102120
41000013222030223000
52112000040313300
651343415044240
74655055111300
oct1000752145300
9216633551376
1068847979200
112721a986870
1211415070680
136652881840
143491a15600
151bce4013a0
hex1007a8cac0

68847979200 has 2016 divisors, whose sum is σ = 325734151680. Its totient is φ = 12489523200.

The previous prime is 68847979181. The next prime is 68847979231. The reversal of 68847979200 is 297974886.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 287 ways as a sum of consecutive naturals, for example, 773572756 + ... + 773572844.

It is an arithmetic number, because the mean of its divisors is an integer number (161574480).

Almost surely, 268847979200 is an apocalyptic number.

68847979200 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 68847979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162867075840).

68847979200 is an abundant number, since it is smaller than the sum of its proper divisors (256886172480).

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

68847979200 is a wasteful number, since it uses less digits than its factorization.

68847979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 68847979200 in words is "sixty-eight billion, eight hundred forty-seven million, nine hundred seventy-nine thousand, two hundred".