Search a number
-
+
68587219008 = 263271119199409
BaseRepresentation
bin111111111000000111…
…011110100001000000
320120000221221201200200
4333320013132201000
52110431312002013
651301502045200
74645440512430
oct777007364100
9216027851620
1068587219008
11270a6773880
1211361879800
136610842579
1434691382c0
151bb6593e73
hexff81de840

68587219008 has 672 divisors, whose sum is σ = 259933440000. Its totient is φ = 16751370240.

The previous prime is 68587218937. The next prime is 68587219009. The reversal of 68587219008 is 80091278586.

68587219008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×685872190082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68587219009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167694708 + ... + 167695116.

Almost surely, 268587219008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68587219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129966720000).

68587219008 is an abundant number, since it is smaller than the sum of its proper divisors (191346220992).

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

68587219008 is a wasteful number, since it uses less digits than its factorization.

68587219008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 68587219008 in words is "sixty-eight billion, five hundred eighty-seven million, two hundred nineteen thousand, eight".