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682404473088 = 28331353143291
BaseRepresentation
bin10011110111000100111…
…10011110100100000000
32102020101221102000111000
421323202132132210000
542140031021114323
61241254200052000
7100205422213152
oct11734236364400
92366357360430
10682404473088
11243451597918
12b0307a64000
134c472c85c60
14250584c4ad2
1512b3e497e43
hex9ee279e900

682404473088 has 288 divisors, whose sum is σ = 2214239690880. Its totient is φ = 206007459840.

The previous prime is 682404473057. The next prime is 682404473129. The reversal of 682404473088 is 880374404286.

It is a happy number.

682404473088 is a `hidden beast` number, since 6 + 82 + 40 + 447 + 3 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6824044730883 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690723 + ... + 4834013.

It is an arithmetic number, because the mean of its divisors is an integer number (7688332260).

Almost surely, 2682404473088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682404473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107119845440).

682404473088 is an abundant number, since it is smaller than the sum of its proper divisors (1531835217792).

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

682404473088 is a wasteful number, since it uses less digits than its factorization.

682404473088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143382 (or 143362 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 682404473088 in words is "six hundred eighty-two billion, four hundred four million, four hundred seventy-three thousand, eighty-eight".