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683966485728 = 2536294124659
BaseRepresentation
bin10011111001111111001…
…01000101010011100000
32102101102210121111000000
421330333211011103200
542201230410020403
61242113155300000
7100262220126651
oct11747745052340
92371383544000
10683966485728
11244083283059
12b0682baa600
134c66177b2a6
1425165b2b528
1512bd16917a3
hex9f3f9454e0

683966485728 has 336 divisors, whose sum is σ = 2139559304400. Its totient is φ = 214749480960.

The previous prime is 683966485669. The next prime is 683966485753. The reversal of 683966485728 is 827584669386.

683966485728 is a `hidden beast` number, since 6 + 8 + 3 + 9 + 6 + 6 + 48 + 572 + 8 = 666.

It is a super-2 number, since 2×6839664857282 (a number of 24 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27724663 + ... + 27749321.

It is an arithmetic number, because the mean of its divisors is an integer number (6367736025).

Almost surely, 2683966485728 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 683966485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069779652200).

683966485728 is an abundant number, since it is smaller than the sum of its proper divisors (1455592818672).

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

683966485728 is a wasteful number, since it uses less digits than its factorization.

683966485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24757 (or 24734 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 683966485728 in words is "six hundred eighty-three billion, nine hundred sixty-six million, four hundred eighty-five thousand, seven hundred twenty-eight".