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668609434080 = 253257471411283
BaseRepresentation
bin10011011101011000011…
…10100101000111100000
32100220210112121102112100
421232230032211013200
541423303003342310
61231053244330400
766206523263430
oct11565416450740
92326715542470
10668609434080
1123861265a935
12a96b7b43a00
134b084c7a493
142450a3222c0
15125d334dec0
hex9bac3a51e0

668609434080 has 288 divisors, whose sum is σ = 2663059037184. Its totient is φ = 149573311488.

The previous prime is 668609434067. The next prime is 668609434081. The reversal of 668609434080 is 80434906866.

668609434080 is a `hidden beast` number, since 66 + 86 + 0 + 94 + 340 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668609434081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 231882 + ... + 1179401.

It is an arithmetic number, because the mean of its divisors is an integer number (9246732768).

Almost surely, 2668609434080 is an apocalyptic number.

668609434080 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 668609434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331529518592).

668609434080 is an abundant number, since it is smaller than the sum of its proper divisors (1994449603104).

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

668609434080 is a wasteful number, since it uses less digits than its factorization.

668609434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411358 (or 1411347 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 668609434080 in words is "six hundred sixty-eight billion, six hundred nine million, four hundred thirty-four thousand, eighty".