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668405745 = 325717124819
BaseRepresentation
bin100111110101110…
…000111111110001
31201120201112022100
4213311300333301
52332102440440
6150154131013
722364232540
oct4765607761
91646645270
10668405745
11313330147
12167a20a69
13a8629877
1464ab2157
153da31230
hex27d70ff1

668405745 has 48 divisors (see below), whose sum is σ = 1401978240. Its totient is φ = 287580672.

The previous prime is 668405743. The next prime is 668405761. The reversal of 668405745 is 547504866.

It is not a de Polignac number, because 668405745 - 21 = 668405743 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 668405745.

It is not an unprimeable number, because it can be changed into a prime (668405743) 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, 57055 + ... + 67764.

It is an arithmetic number, because the mean of its divisors is an integer number (29207880).

Almost surely, 2668405745 is an apocalyptic number.

It is an amenable number.

668405745 is an abundant number, since it is smaller than the sum of its proper divisors (733572495).

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

668405745 is a wasteful number, since it uses less digits than its factorization.

668405745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124854 (or 124851 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 668405745 is about 25853.5441477566. The cubic root of 668405745 is about 874.3394176084.

The spelling of 668405745 in words is "six hundred sixty-eight million, four hundred five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 124819 374457 624095 873733 1123371 1872285 2121923 2621199 4368665 5616855 6365769 7863597 10609615 13105995 14853461 19097307 31828845 39317985 44560383 74267305 95486535 133681149 222801915 668405745