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68810480640 = 21033511371223
BaseRepresentation
bin100000000010101101…
…1001001110000000000
320120121112001121002000
41000011123021300000
52111410440340030
651335555224000
74654121302116
oct1000533116000
9216545047060
1068810480640
11272007a4620
12114045a8000
136647b82745
14348aa53ab6
151bcae95860
hex10056c9c00

68810480640 has 704 divisors, whose sum is σ = 274204984320. Its totient is φ = 16217210880.

The previous prime is 68810480573. The next prime is 68810480663. The reversal of 68810480640 is 4608401886.

It is a tau number, because it is divible by the number of its divisors (704).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56263069 + ... + 56264291.

Almost surely, 268810480640 is an apocalyptic number.

68810480640 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 68810480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137102492160).

68810480640 is an abundant number, since it is smaller than the sum of its proper divisors (205394503680).

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

68810480640 is a wasteful number, since it uses less digits than its factorization.

68810480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 68810480640 in words is "sixty-eight billion, eight hundred ten million, four hundred eighty thousand, six hundred forty".