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68143680000 = 29345411239
BaseRepresentation
bin111111011101101011…
…100000101000000000
320111220001100121120000
4333131223200220000
52104024240230000
651145455320000
74631443502664
oct773553405000
9214801317500
1068143680000
1126999370410
1211259220000
13656c998656
14342627c8a4
151b8c680000
hexfddae0a00

68143680000 has 1000 divisors, whose sum is σ = 278422626240. Its totient is φ = 16450560000.

The previous prime is 68143679977. The next prime is 68143680023. The reversal of 68143680000 is 8634186.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68143679977) and next prime (68143680023).

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×681436800002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 285119881 + ... + 285120119.

Almost surely, 268143680000 is an apocalyptic number.

68143680000 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 68143680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139211313120).

68143680000 is an abundant number, since it is smaller than the sum of its proper divisors (210278946240).

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

68143680000 is an equidigital number, since it uses as much as digits as its factorization.

68143680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 68143680000 in words is "sixty-eight billion, one hundred forty-three million, six hundred eighty thousand".