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68001689280 = 26357311971657
BaseRepresentation
bin111111010101001101…
…110110111011000000
320111112011011201220110
4333111031312323000
52103231413024110
651123424111320
74625100551610
oct772515667300
9214464151813
1068001689280
11269261a9708
1211219765540
136549442185
14341147aa40
151b7ee83a20
hexfd5376ec0

68001689280 has 448 divisors, whose sum is σ = 256156065792. Its totient is φ = 14956462080.

The previous prime is 68001689269. The next prime is 68001689299. The reversal of 68001689280 is 8298610086.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41038212 + ... + 41039868.

Almost surely, 268001689280 is an apocalyptic number.

68001689280 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 68001689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128078032896).

68001689280 is an abundant number, since it is smaller than the sum of its proper divisors (188154376512).

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

68001689280 is a wasteful number, since it uses less digits than its factorization.

68001689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 68001689280 in words is "sixty-eight billion, one million, six hundred eighty-nine thousand, two hundred eighty".