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67713894000 = 243753113137
BaseRepresentation
bin111111000100000100…
…000000011001110000
320110210002122020000000
4333010010000121300
52102134224102000
651035103430000
74615004413404
oct770404003160
9213702566000
1067713894000
1126798800875
12111592b5300
1365019285cc
1433c5163104
151b64a86000
hexfc4100670

67713894000 has 640 divisors, whose sum is σ = 249542242560. Its totient is φ = 17766604800.

The previous prime is 67713893977. The next prime is 67713894011. The reversal of 67713894000 is 49831776.

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 127 ways as a sum of consecutive naturals, for example, 494261932 + ... + 494262068.

It is an arithmetic number, because the mean of its divisors is an integer number (389909754).

Almost surely, 267713894000 is an apocalyptic number.

67713894000 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 67713894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124771121280).

67713894000 is an abundant number, since it is smaller than the sum of its proper divisors (181828348560).

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

67713894000 is a wasteful number, since it uses less digits than its factorization.

67713894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 67713894000 in words is "sixty-seven billion, seven hundred thirteen million, eight hundred ninety-four thousand".