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683346227040 = 25335169993103
BaseRepresentation
bin10011111000110101001…
…10111110111101100000
32102022211120111002001000
421330122212332331200
542143443113231130
61241531441112000
7100240646043411
oct11743246767540
92368746432030
10683346227040
11243895148574
12b052b328600
134c59310b609
14251075cd808
1512b96ec1260
hex9f1a9bef60

683346227040 has 192 divisors, whose sum is σ = 2393145216000. Its totient is φ = 182116449792.

The previous prime is 683346227017. The next prime is 683346227051. The reversal of 683346227040 is 40722643386.

683346227040 is a `hidden beast` number, since 6 + 8 + 334 + 6 + 2 + 270 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293129 + ... + 7386231.

It is an arithmetic number, because the mean of its divisors is an integer number (12464298000).

Almost surely, 2683346227040 is an apocalyptic number.

683346227040 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 683346227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196572608000).

683346227040 is an abundant number, since it is smaller than the sum of its proper divisors (1709798988960).

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

683346227040 is a wasteful number, since it uses less digits than its factorization.

683346227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94826 (or 94812 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 683346227040 in words is "six hundred eighty-three billion, three hundred forty-six million, two hundred twenty-seven thousand, forty".