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68299822080 = 210345723361
BaseRepresentation
bin111111100110111111…
…001001010000000000
320112021221011110020000
4333212333021100000
52104334223301310
651213154120000
74635350623500
oct774677112000
9215257143200
1068299822080
1126a69518256
12112a1580000
136596138109
14343ccc5a00
151b9b2244c0
hexfe6fc9400

68299822080 has 660 divisors, whose sum is σ = 284791503348. Its totient is φ = 15606743040.

The previous prime is 68299822057. The next prime is 68299822099. The reversal of 68299822080 is 8022899286.

68299822080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38240584704 + 30059237376 = 195552^2 + 173376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20319600 + ... + 20322960.

Almost surely, 268299822080 is an apocalyptic number.

68299822080 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 68299822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142395751674).

68299822080 is an abundant number, since it is smaller than the sum of its proper divisors (216491681268).

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

68299822080 is a wasteful number, since it uses less digits than its factorization.

68299822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 682998 and 22080, that added together give a triangular number (705078 = T1187).

The spelling of 68299822080 in words is "sixty-eight billion, two hundred ninety-nine million, eight hundred twenty-two thousand, eighty".