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668432193 = 31131379163
BaseRepresentation
bin100111110101110…
…111011101000001
31201120202212120220
4213311313131001
52332104312233
6150154453253
722364402622
oct4765673501
91646685526
10668432193
11313349000
12167a34229
13a8638910
1464abba49
153da38eb3
hex27d77741

668432193 has 64 divisors (see below), whose sum is σ = 1075630080. Its totient is φ = 366949440.

The previous prime is 668432183. The next prime is 668432201. The reversal of 668432193 is 391234866.

It is not a de Polignac number, because 668432193 - 28 = 668431937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (668432123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4100730 + ... + 4100892.

It is an arithmetic number, because the mean of its divisors is an integer number (16806720).

Almost surely, 2668432193 is an apocalyptic number.

It is an amenable number.

668432193 is a deficient number, since it is larger than the sum of its proper divisors (407197887).

668432193 is a wasteful number, since it uses less digits than its factorization.

668432193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 668432193 is about 25854.0556392996. The cubic root of 668432193 is about 874.3509496377.

The spelling of 668432193 in words is "six hundred sixty-eight million, four hundred thirty-two thousand, one hundred ninety-three".

Divisors: 1 3 11 13 33 39 79 121 143 163 237 363 429 489 869 1027 1331 1573 1793 2119 2607 3081 3993 4719 5379 6357 9559 11297 12877 17303 19723 23309 28677 33891 38631 51909 59169 69927 105149 124267 141647 167401 216953 256399 315447 372801 424941 502203 650859 769197 1366937 1558117 1841411 2820389 4100811 4674351 5524233 8461167 17139287 20255521 51417861 60766563 222810731 668432193