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68967797760 = 2103351729347
BaseRepresentation
bin100000000111011001…
…1010001010000000000
320121000111002010121000
41000032303101100000
52112221224012020
651403335132000
74661041415451
oct1001663212000
9217014063530
1068967797760
1127281584274
1211449214000
136671643cb4
1434a38c5128
151bd9bbd090
hex100ecd1400

68967797760 has 352 divisors, whose sum is σ = 259525537920. Its totient is φ = 17308975104.

The previous prime is 68967797753. The next prime is 68967797779. The reversal of 68967797760 is 6779776986.

It is a super-2 number, since 2×689677977602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 2335407 + ... + 2364753.

It is an arithmetic number, because the mean of its divisors is an integer number (737288460).

Almost surely, 268967797760 is an apocalyptic number.

68967797760 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 68967797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129762768960).

68967797760 is an abundant number, since it is smaller than the sum of its proper divisors (190557740160).

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

68967797760 is a wasteful number, since it uses less digits than its factorization.

68967797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29398 (or 29374 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 68967797760 in words is "sixty-eight billion, nine hundred sixty-seven million, seven hundred ninety-seven thousand, seven hundred sixty".